5

Point) Let y" 25yFind all values of r such that y keFI satisfies the differential equation. If there more than one correct answer; enter your answers as comma ...

Question

Point) Let y" 25yFind all values of r such that y keFI satisfies the differential equation. If there more than one correct answer; enter your answers as comma separated list:help (numbers}

point) Let y" 25y Find all values of r such that y keFI satisfies the differential equation. If there more than one correct answer; enter your answers as comma separated list: help (numbers}



Answers

Determine the values of $r$ for which the given differential equation has solutions of the form $y=e^{t} .$ $$ y^{\prime \prime \prime}-3 y^{\prime \prime}+2 y^{\prime}=0 $$

Here, we're looking for the values of our for which this differential equation has a solution in this format here. So we rewrite our derivatives in terms of our And since that is a second derivative, we can write that as r squared. Um And since it's just why we just write the coefficient down which is just one. So we have our squared -1 is equal to zero. And we can solve this either with factoring or just simply add and then take the square root. So at one to both sides we get r squared is equal to one. Take the square root of both sides, and we get the square root of wine. But do not forget that it's plus or minus the square root of one. Uh and so are our then it's gonna be one And -1. So we're gonna get to ours for this 11 and negative one.

We have to solve the differential equation 25 of convertible desk. This four way It comes to zero. Right? Yeah. So We can write 25 of duty. Why? Upon the excess square Let's for very close to zero. So we will write this equation using the nutrition 25 data. Why? Plus four y equals to zero Of the medication? Would be 25 Of a manuscript is forecast to zero. Mhm. Okay. So this will be funny. So this will be close to every school. Mm scoring customers of four x 25. So complex would be plus minus off To have won five of ι.. Okay. So we can write the solution to the differential equation by close to it. The power of Mx. Sorry it is the power of Halifax. seven ST be tax So you two course be tax Alpha zero here m two x 5. So we can add the solution U to the Power zero X. Stephen sign two upon 5 of X. The C two cause two upon 5 of X. So this will because we're very close to in the proper direction, will be what? So this is Stephen Signed to upon five of X. Placido course two upon 5 of eggs. So this is the answer I hope you understood.

Elephants. We have to solve this given differential equation. Weekend at the auxiliary occasion for this second order homogeneous to translate question that is to mm square Plus five. a.m must always square is greater than Is it cost 204 is greater than zero. So the rule of this auxiliary question will be two M -3. A multiplied by M plus for a. It comes to zero some monies three right away mm to his minus for A. So we can add the solution for the situation because to see even into the power M N. X. Let's see to interview to the power of M12. This is a solution for the second order homogeneous equation. So why? Well, because to seven into the power of three x. Upon to Okay. Plus, so you tend to eat the power of -4 A. X. So this is the answer I hope you understood. Thank

Hello. Friends were to solve that given differential equation that is given in the question. three kids to Devour. four did y plus 14 K square -5 by equals to zero for this weekend. Ida auxerre education. This is the second order homogeneous differential equations. So three K to the power forward, I am a square plus 14 K sq M -5 equals to zero. So further weekend I did three kids with the power for I am a square plus 15 K square m minus off. He's square M -5. Because 20. So we can we will take common from the first two times. That is three K sq M. So this will be a square and so this will be close to gear squared. Um Mhm Let's fight. We will take common man respondents. Okay, square M. There's one, it goes to zero. So from here we will get three K square M minus one. Multiple. Like a square him plus five equals to zero. So from here on will be one upon three cases where an empty will be minus five points. You square them. Okay so we can write the solution for this what it calls to siva solution for this difference equation. So you want me to the power and Monex plus you to interview to the power of M. Two X. So this will be a cause to Very close to seven U. To the power off. Ex upon three cases where Plus 3 2 and two into the power of -5 x upon here's squared wow. So this is the answer. I hope you understood. Thank you. Mhm.


Similar Solved Questions

5 answers
Sketch and solve the triangle ABC where (a) [8 pts] a-20,b-25,and €-22. (b) [8 pts] ZB =10 _ ZC =100 and €M5.
Sketch and solve the triangle ABC where (a) [8 pts] a-20,b-25,and €-22. (b) [8 pts] ZB =10 _ ZC =100 and €M5....
5 answers
(10 points) HO Propose synthesis the following product from the starting material
(10 points) HO Propose synthesis the following product from the starting material...
5 answers
A political scientist surveys 35 of the current 150 representatives in & state $ congressWhat is the size of the sampleWhat t the size of the population:
A political scientist surveys 35 of the current 150 representatives in & state $ congress What is the size of the sample What t the size of the population:...
5 answers
Zu v Simplify the expressionshowing all steps. Express your answer using " only positive expaneils
Zu v Simplify the expression showing all steps. Express your answer using " only positive expaneils...
5 answers
X2 + 1 7. If f(c) = then f' (x) x3 2x+1 2 3 2x2x(23 2x) (22 + 1)(3x2 =2)) r3 2x)22x (b) 2 (322 ~2)v I +1 23/2 _ 2Vz2x(.3 2x ) 12 + 1)(322 2) r3 2c)
x2 + 1 7. If f(c) = then f' (x) x3 2x +1 2 3 2x 2x(23 2x) (22 + 1)(3x2 =2)) r3 2x)2 2x (b) 2 (322 ~2)v I +1 23/2 _ 2Vz 2x(.3 2x ) 12 + 1)(322 2) r3 2c)...
5 answers
Calculate the following integralsJo e-ax"dx (a J6" x"e-2xdx (b J6 Idx (c S dx (d V3-=
Calculate the following integrals Jo e-ax"dx (a J6" x"e-2xdx (b J6 Idx (c S dx (d V3-=...
3 answers
Lonside+Jx) 'Juuo Ate Itoo Mtelz0 e_Wiik_this_Gtatitn_8s & 3s121c2}6 6f At_otdet ealdtan: 0 PPese_ Shau Tb [x4ylZy IHshs 6 Sheu blo,deizu Stooe Usiugt ~Liapunov_ setedl &o_Shcul (00) Stabb ~pint E #e_Jiestancek Syctem- Stul (0,0)_is a smpk_cattical_Aat_BicL_stucly tre Itneakiza.tfon_o]_te_ystem_Bbut_dr_Crilicl) Foit T Kaacs 844 94)y4-a) 3 yle di: 8 g(x) Sfa) {te_Itoeba_ Wbeatial eqn B1t L recl_ ta System
lonside +Jx) 'Juuo Ate Itoo Mtelz0 e_Wiik_this_Gtatitn_8s & 3s121c2}6 6f At_otdet ealdtan: 0 PPese_ Shau Tb [x4ylZy IHshs 6 Sheu blo,deizu Stooe Usiugt ~Liapunov_ setedl &o_Shcul (00) Stabb ~pint E #e_Jiestancek Syctem- Stul (0,0)_is a smpk_cattical_Aat_BicL_stucly tre Itneakiza.tfon_o]...
5 answers
05.4 homcuoUnanskemedWhich of the following best defines fractional distillation?secctMacctan antt antwerand WomitFor keyboard navigation, use the up{doxn arrow Keysusing the boiling point - Eulde = When Mixingsample with anotherscparating componcnts (rom mnuture using heatpurifying nrnt that /> contaminated wth mnineralsnone ofthe answers He correctSubmitUnanatered
05.4 homcuo Unanskemed Which of the following best defines fractional distillation? secct Macctan antt antwerand WomitFor keyboard navigation, use the up{doxn arrow Keys using the boiling point - Eulde = When Mixing sample with another scparating componcnts (rom mnuture using heat purifying nrnt tha...
1 answers
$19-20$ Show that the line integral is independent of path and evaluate the integral. $$\int_{C} \tan y d x+x \sec ^{2} y d y$$ $C$ is any path from $(1,0)$ to $(2, \pi / 4)$
$19-20$ Show that the line integral is independent of path and evaluate the integral. $$\int_{C} \tan y d x+x \sec ^{2} y d y$$ $C$ is any path from $(1,0)$ to $(2, \pi / 4)$...
5 answers
2, le + Fk - mhmiwhlmahyn?, x+ze-1*> (o) ver,fh mlimmhmuzal R}(L) Fn4Ctnhal Acti &r(C) Eveale Je-JrCcuryeAre A(2,0) 4 8 (2,',2>.
2, le + Fk - mhmiwhlmahyn?, x+ze-1*> (o) ver,fh mlimmhmuzal R} (L) Fn4 Ctnhal Acti &r (C) Eveale Je-Jr C curye Are A(2,0) 4 8 (2,',2>....
5 answers
For the following reaction; 0.500 moles of phosphorus (Pa) are mixed with 0.206 moles of chlorine Ras: phosphorus (Pa)(s) chlorine(g) phosphorus trichloride(€) Whal is the formula for the Liriting reagent?What is the maximum amount of phosphorus trichloride that can be produced?moles
For the following reaction; 0.500 moles of phosphorus (Pa) are mixed with 0.206 moles of chlorine Ras: phosphorus (Pa)(s) chlorine(g) phosphorus trichloride(€) Whal is the formula for the Liriting reagent? What is the maximum amount of phosphorus trichloride that can be produced? moles...
5 answers
Given e=2.71828,find the bound of the relative error of each approximation XA to X.how many significant digits does each XA have.1. x=e, XA=2.72
Given e=2.71828,find the bound of the relative error of each approximation XA to X.how many significant digits does each XA have.1. x=e, XA=2.72...
5 answers
Solve the initial-value problemx-[2 oJ* x)- [~1].
Solve the initial-value problem x-[2 oJ* x)- [~1]....
2 answers
.
....
5 answers
Franklin races bikes, In his city, there are $d$ lengths of rate tracks. The chart shows the race tracks and each track's length in miles:
Franklin races bikes, In his city, there are $d$ lengths of rate tracks. The chart shows the race tracks and each track's length in miles:...

-- 0.023896--