5

Q.4. Find the solution of10r =- 4e' using variation of parameter method_...

Question

Q.4. Find the solution of10r =- 4e' using variation of parameter method_

Q.4. Find the solution of 10r =- 4e' using variation of parameter method_



Answers

$23-28$ Solve the differential equation using the method of variation of parameters.
$$y^{\prime \prime}+4 y^{\prime}+4 y=\frac{e^{-2 x}}{x^{3}}$$

Why don't but Ortega's wife crime five y first really break it down into Hamad is not Hamas. Lodges plus in equation will be My whole kind was 400 times zero and they putting fly E Queen Agent are you Get our square are fine. Here are people to my huge plus or minus by h P equals one here t well, cto you like to pay? Fine. Uh, he why won t is equal to what Teoh u t Why for party were so moved to the very all parameters. It's so first, the soft core wh is determined e of my q t He didn t do y one private below which will be going to you t for my use e of my beauty sign he involving that You? Why? To it just here of these two t fine tea driven below just means to you. You mind t find a key because he of mine in which is simple fighting coming My each negative 14. You have a key? Uh, I peed equal to, uh that would be equal to Why won t you key plus right? Be Yeah. You equal to negative Negative 10 multiply P g of minus two Keys on a key divided by the A minus 40 TV. She's gonna be equaled to Theo. Pledge to keep Just to be, uh, coastline Keith Minus four times a year to t fine b t b huh? The 10 times the lanes t cause saying please clarify Here raised four kids which is being put to you have to speak he because four times eight to sign Why P He would be equal to two times cruising squared key Main Port E four times Sign t two times Sign where equal to then this is the equation Will believe why these could see one here. Raised duty co sign I could see you. You raised Time T plus two. Now we're doing so that sells the whole equation below using very

Okay, so here we have a non homogeneous E. Now, first of all, our right, the auxiliary equation for the homogeneous system. So we can right here are square plus four R plus four that is equal to zero. So we can right here are plus two Hall square is equal to zero which means our is equal to minus two with multiplicity too. Right now here we have only one route. Therefore our complimentary solution is given by see what it is to minus two x plus see to multiply by X into it is two minus two X right. So here we have why one is equal to eat us to minus two x and why two is equal toe X multiplied by it has to my two X Now take the daily video off by one. So he are Why, when is they call two minus two? It is two minus two x and now take a derivative off white too. And that is negative. Two weeks. It is two minus two weeks. Plus it is two minus two X right now find their own skin, which is given by W is equal to why I went into. Why do this? Minus why oneness multiplied by Y two. Okay, so here. Why one that is it is two minus two x. You're right to the studies. Negative two x It is two minus two X plus. It is two minus two X. Hear Why one dish that ISS minus two. It is two minus two x and hear Why, too? That is X multiplied by it is to minus two X right. And by simplify this we got it is two minus four X right now, Here, on the right side, we have G off T or we can say G o fax because here we have a functional fax. No, t The URL geo facts is equal to it is to minus two, excavated by X cube. Right now work particular solution, which is in the form off Y p is equal to Why? To integration off. Why one into g o affects divided by Ruskin w the X minus Why one integration off by two into geo affects divided by W into the X. Now substitute all these values. So here. Why do that is X It is two minus two x hear why one is it is two minus two x and here, Geo fax studies. It is two minus two, excavated by X cube. And here. Wrong skin, that is. Ah, it is two minus four x minus here. Why one that is It is two minus two weeks. Integration off. Why? To and hear why two is X multiplied by eres tu minus two x again here. G o p. That is It is two minus two x divided by X cubed. We now simplify this. Okay, here it is. Two minus two x multiply by a It is two minus two x. That will be It is two minus forex. And here in the denominator, we have also it is two minus forex. So that will be guns allowed. So here we have only It is two minus sorry. One divided by X cube. Right? So we can right here express to minus three. Now here also it is two minus two x and that it is two minus two x. So that becomes it is two minus four x And here it is two minus forex will begins allowed. So here we have only excavated by X cube. So we can Right here. Exodus to minus two. Now take the integration off. Access to minus three, which is access to minus two, divided by minus two. And the integration off. Access to minus two. It is access to minus one upon minus one. Now here we have a negative sign. So right, negative sign over here. Divided by two, multiplied by one, divided by x square. Right, Because here we have exponents negative too. So we can write one divided by X square. And here in the dino military, we have negative sign so we can write here. Plus it is two minus two x Multiply by one divided by X Right now simplify this so your X and X will be cancel out. So your negative it is too negative. Two weeks divided by it works. Plus it is two minus two X born X right, And that is equal to it is two minus two weeks upon two weeks because one minus one half that is equal to one house. Right? So that is Thea. Our particular solution now, right? Teach under solution. We're just given by why is it called y c less wipe Now here our complement the solution. Waas see one years to minus two x plus C to multiply by X s two minus two X and our particular solution Waas It is two minus two weeks developed by two weeks. So that is three our general solution. Thank you.

Hello. So you have the equation were given capital R minus four times little R equals 17 and four times little R plus three times capital R. Is equal to three. So this is the way it's given. Let's go ahead and just rearrange the terms we have our small ours and big cars lining up. So we have a negative four R. And then plus our capital R is equal is equal to 17. And then we have four times little R plus three times Big R is equal to three. Now see you can just add these equations together and the little ours are going to cancel out. So then we just have big arm plus three big hours. That's gonna be four times are for Big Art is going to be equal to 17 plus three is gonna be equal to 20. And then just divide through here by four and get that our capital are here is going to be equal to just 22 by four which is equal to five. So big are here is equal to five and they can go ahead and substitute it back in. Um Let's go that. Look at the first equation. So we have five control and then we have minus four hours 17. So minus four are he calls 17? So track five from both sides. And that gives us a negative four hour is equal to 17 minus five. That's 17. 16 15 14 13, 12 2, negative four hour is equal to 12, Dividing through by -4. Okay, gives us that little R. Is equal to well 12 divided by negative four is negative three. So here we have that big R. Is equal to five and little R. Is equal to negative three. Actually, yes.

Were given that why varies directly as X. And were given the values of X and Y, we need to find Y. When X is equal to 13. We have Y is equal to K times X. We plug in the values we have, so 45 is equal to K times five. We divide both sides by five. We get nine is equal to our constant of variations. Are equation is Y is equal to nine X. So now we played in 13. So we get y is equal to nine times times 13 and nine times 13 Is equal to Y is equal to 117.


Similar Solved Questions

5 answers
Balanced picturt molecular 1 uoulono?Lead() 1 cractan Produci Potassium Hydroxide ,_ neecedchemical
balanced picturt molecular 1 uoulono? Lead() 1 cractan Produci Potassium Hydroxide ,_ neeced chemical...
5 answers
Question 3 (11 points)Estimate the area under the curve given the following fuction, interval, and number of subintervals using the Right Endpoint Method.1 f(o) =[1,5]; n = 4A) A ~ 88B) A~ % C A~ 36D) A~ 3E) A~ % 12
Question 3 (11 points) Estimate the area under the curve given the following fuction, interval, and number of subintervals using the Right Endpoint Method. 1 f(o) = [1,5]; n = 4 A) A ~ 88 B) A~ % C A~ 36 D) A~ 3 E) A~ % 12...
5 answers
3x 8x-2 lim X#0J 9x2 3x 7Select the correct choice below and;if necessary: fill in the anOA 3x3 8x 2 lim Xdo 9x2 3x # 70 B The limit does not exist and is neither m nor CO
3x 8x-2 lim X#0J 9x2 3x 7 Select the correct choice below and;if necessary: fill in the an OA 3x3 8x 2 lim Xdo 9x2 3x # 7 0 B The limit does not exist and is neither m nor CO...
5 answers
Ems L 1 tis polnt) the The time (in rabbit population months) since Omdnsmal Dusenrations island of the P(t) Is observed to pueis] 120t began_ 4t given by 3 furotonWhen P(t) The 2 does the maximum population is maximum rabbit population population attained months disappear months: rabbits , Note: you from the MP 7 get a Island? larger view 8 graph by clicking -3
ems L 1 tis polnt) the The time (in rabbit population months) since Omdnsmal Dusenrations island of the P(t) Is observed to pueis] 120t began_ 4t given by 3 furoton When P(t) The 2 does the maximum population is maximum rabbit population population attained months disappear months: rabbits , Note: y...
5 answers
Transformation to solve the given initial vulue problem: G4] [20 points] Use Laplace Jv 2y = 0 v(u) FL,v( = 0in following steps: Apply the Laplace transfort to both sides of the cquation;Solve for E(v(o)} -Y()Findl tu interie Lplacr' (TAISform of Y() (I ochcr Words Litua | Y() , the #olution of the given IVP).
transformation to solve the given initial vulue problem: G4] [20 points] Use Laplace Jv 2y = 0 v(u) FL,v( = 0 in following steps: Apply the Laplace transfort to both sides of the cquation; Solve for E(v(o)} -Y() Findl tu interie Lplacr' (TAISform of Y() (I ochcr Words Litua | Y() , the #olution...
5 answers
85.0 kJ ofheat is lost from 50.0 L of argon gas while it expands to 500.0 L against - constant pressure of 400.0 kPa. at constant temperature. points)Calculate the work (in joules) done by the gas on its surroundingsCalculate thc total internal energy change,for the argon gas in the process_Some cell phones use frequency band at [980 MHz What wavelength is this? (6 points)
85.0 kJ ofheat is lost from 50.0 L of argon gas while it expands to 500.0 L against - constant pressure of 400.0 kPa. at constant temperature. points) Calculate the work (in joules) done by the gas on its surroundings Calculate thc total internal energy change, for the argon gas in the process_ Some...
4 answers
Challenge: The following reaction has = rate constant of 2.3x10 ' Mmin: If A's initial concentration is O.500M, how many hours will it take to get 99% conversion of the reactants to products:
Challenge: The following reaction has = rate constant of 2.3x10 ' Mmin: If A's initial concentration is O.500M, how many hours will it take to get 99% conversion of the reactants to products:...
5 answers
OncrionAlien]Nlign?Align}GCCGGCCGGCCGGC -AGC Adlfferent muluple sequenc AiAe[Ethe same sequencesglven aboveUsing sccnng Mathod GcOm glvcD mulriclc squcncc alignmcnts, Statc which alignmcn optimal and clain matrh ma match and algned with Iesidues cther gaps} Caan co(ToTY Goot Eivcn mutipic Gojucdce aiznmcnts etane KhickAenmcnt m3}thc optuma and cinlamn *byHaveoblaIedAme result 4sLDgdiferent SLCIILA methods? Jusufy; YoutAYEI.
Oncrion Alien] Nlign? Align} GCCG GCCG GCCG GC -A GC A dlfferent muluple sequenc AiAe[E the same sequences glven above Using sccnng Mathod GcOm glvcD mulriclc squcncc alignmcnts, Statc which alignmcn optimal and clain matrh ma match and algned with Iesidues cther gaps} Caan co(ToTY Goot Eivcn mutipi...
5 answers
Chrome Flle Edit View History Bookmarks People Window Help1C035Thu 11;33 PM[a-|[ue *06,07GcOiYoutdefindefindefin8' Intlab0 Defrcalclhttps /ldocs-google com/forms/de/ 1FAIpQLSaOpdMg021j1UOOk81dqK24oSaXbeQRnLIPM6_Wz6do94xLyQviowformTfy" sin(x), YO)-0, Yz) 2 thensin(x) y =3x+ sin(x) (2 x)/t sin(x) 2 + sin(x)HP Fe~pdr
Chrome Flle Edit View History Bookmarks People Window Help 1C035 Thu 11;33 PM [a-| [ue * 06,07 GcOi Yout defin defin defin 8' Intlab 0 Defr calcl https /ldocs-google com/forms/de/ 1FAIpQLSaOpdMg021j1UOOk81dqK24oSaXbeQRnLIPM6_Wz6do94xLyQviowform Tfy" sin(x), YO)-0, Yz) 2 then sin(x) y =3x+ ...
5 answers
Given an inner product defined in R' for U= (U1. Uz, 4;) and v= (V, Vz. V) V= 3u V + ZuzV + U;V}Find a vector that i5 'orthogonal to both U= (1, 0,-1) and1= (1,2,15)
Given an inner product defined in R' for U= (U1. Uz, 4;) and v= (V, Vz. V) V= 3u V + ZuzV + U;V} Find a vector that i5 'orthogonal to both U= (1, 0,-1) and1= (1,2,15)...
5 answers
The donble integralL [ f(r,u) dydxequal tonone of the given options is correct.[ 6f6y) dx dy J Ifosy) dxdy [ [ ;ky) d.dy [ 65 f(x,y) dx dy 6 ( ;ky) d.dy [' $ftx:y) dxdy
The donble integral L [ f(r,u) dydx equal to none of the given options is correct. [ 6f6y) dx dy J Ifosy) dxdy [ [ ;ky) d.dy [ 65 f(x,y) dx dy 6 ( ;ky) d.dy [' $ftx:y) dxdy...
5 answers
Let f (r)= # 15*<9 (0) (4 points) Use Ihe: appropriate calculator procedure 5 find the inflection pomnt of } (x) In the intenval Tucicuve cometdIn decimal places(6)( + points) Sketch Ax) and give the window uscd for graphing- Label the inflection polnt on the graph:(c) (2 points) Classify the inflection point as point of fastest increase, slowest increase, fastest decrease slowest decrease.
Let f (r)= # 15*<9 (0) (4 points) Use Ihe: appropriate calculator procedure 5 find the inflection pomnt of } (x) In the intenval Tucicuve cometdIn decimal places (6)( + points) Sketch Ax) and give the window uscd for graphing- Label the inflection polnt on the graph: (c) (2 points) Classify the i...
5 answers
B_ f In6x) dx tV3
b_ f In6x) dx tV3...
5 answers
Multiple of 6z? + 39r 21 and 622 + 542 + 84? 4. What is the least common 122" + 102r? + 114c 84 622 + 543 + 84 6xl+39x 622 + 933 + 63628 + 522? + Illz 42
multiple of 6z? + 39r 21 and 622 + 542 + 84? 4. What is the least common 122" + 102r? + 114c 84 622 + 543 + 84 6xl+39x 622 + 933 + 63 628 + 522? + Illz 42...
5 answers
TrialAgexp I2AI 4.111a-2.0551b-33626.7242a535710.7142b-2.6085.2163a-2.9445.9883b2.1654.334a4bg average61803320 gn40089
Trial A gexp I2AI 4.11 1a -2.055 1b -3362 6.724 2a 5357 10.714 2b -2.608 5.216 3a -2.944 5.988 3b 2.165 4.33 4a 4b g average 6180332 0 g n40089...
4 answers
Calculate the integral, assuming thatf(x)dx =9.(Use symbolic notation and fractions where needed )(f(x) - Tx) dx
Calculate the integral, assuming that f(x)dx =9. (Use symbolic notation and fractions where needed ) (f(x) - Tx) dx...
5 answers
1. Find equation of the line tangentto the parabolay = 422 when € = 4by setting up and evai luating limit: Please use point-slope form for your tangent line equation: 2. Evaluate the following limits_ VIO Bc lim T--2 c + 2 x + 3 b. lim 3-5 I - 5
1. Find equation of the line tangentto the parabolay = 422 when € = 4by setting up and evai luating limit: Please use point-slope form for your tangent line equation: 2. Evaluate the following limits_ VIO Bc lim T--2 c + 2 x + 3 b. lim 3-5 I - 5...
5 answers
The function graphed above is:Increasing on the interval(sDecreasing on the interval(s)
The function graphed above is: Increasing on the interval(s Decreasing on the interval(s)...
5 answers
Question 322ptConsider the reaction HNOzlaq) + HzO(I) # HzOt(aq) +NOz "(aq) Which species are acting as bases?HzOand H5otHpOand NO2LHNOzand NO2HNOZand keOHNO2and H;o"Fn TehANEXT
Question 32 2pt Consider the reaction HNOzlaq) + HzO(I) # HzOt(aq) +NOz "(aq) Which species are acting as bases? HzOand H5ot HpOand NO2 L HNOzand NO2 HNOZand keO HNO2and H;o" Fn TehA NEXT...

-- 0.019971--