5

Question 118 ptsGiven the system of linear equations:x'(t) = Xt) - z(t); x(o) = 1 y'(t)=x(t) + z(t); YO) = 0 2'(t)=x(t) + Xt) z(0) = -1Which or which...

Question

Question 118 ptsGiven the system of linear equations:x'(t) = Xt) - z(t); x(o) = 1 y'(t)=x(t) + z(t); YO) = 0 2'(t)=x(t) + Xt) z(0) = -1Which or which of the following functions is or are solution to it?x(t)=2-e-tx(t)=e -tYt)=et _ e-tYt) =cos(t) - sin(t) _ 1z(t) = ef(cos(t) - sin(t))z(t) =et _ 2None of the above answers is correct:

Question 11 8 pts Given the system of linear equations: x'(t) = Xt) - z(t); x(o) = 1 y'(t)=x(t) + z(t); YO) = 0 2'(t)=x(t) + Xt) z(0) = -1 Which or which of the following functions is or are solution to it? x(t)=2-e-t x(t)=e -t Yt)=et _ e-t Yt) =cos(t) - sin(t) _ 1 z(t) = ef(cos(t) - sin(t)) z(t) =et _ 2 None of the above answers is correct:



Answers

In Problems 3-8, determine whether the given function is a solution to the given differential equation.
$$\theta=2 e^{3 t}-e^{2 t}, \quad \frac{d^{2} \theta}{d t^{2}}-\theta \frac{d \theta}{d t}+3 \theta=-2 e^{2 t}$$

So in this problem, we are given for different functions and were asked, um, which one of these satisfies this initial going problem? So, um, so we want a why out of these four out of these four options that satisfies thiss and this these conditions. So I'm starting with this one. Um so whenever we derive on this X, the the terry the Y way have one over X. So, um, one approach would be to divide each of these. Uh, well, it way can take a shortcut, since all of peace are inter cross Hey on. And they go from a constant term to X, we can apply This definition for integration tells us that to doing it up with your strict ethics of a oven interrupt from a constant term to X, a sum function of tea. With respect, kitty, it's going to be equal to this into grand function. Evaluated at X, not e X. All right, So, um, with that in mind, since this is our this would be our f X. We want then this instead of one over X. We want one over tea as its integral write an integral function. So that means it should be. We can narrow it down. Nor our guess is down from a D'Oh, forty. All right, so both of these already satisfy this condition. Now, for the second condition, we want that when X equals one. Then why, Uh, why? I wanna see put negative three. So let's start with this one. So, actually, was one this isthe optioning. Why was not negative a point is he called too one. And this ex now takes value one, uh, one over sea with respected P minus three. So now take a look here at this. Enter grant and develop. It goes from one to one. So that means that this whole thing deceitful two syrup. So, what are we left with Justice? Negative. Three Negative. Our great. So why about needed it? One is equal to negative three. That means this condition is also satisfied, so we don't need to check this. Um, this is our answer. See if we had a validated it here, Uh, say X equals one. This now here is negative. Not negative. This is now one. And we have this three already here. That's a constant. So it doesn't go away in this. This is different from zero s. So this would be not equal to three, just in case. Uh, but we already found that our answer, he would be.

In this problem were given initial problem and that were given a, um, solutions. And we're giving people kids in there. We're looking for you since being on it. There you go. Dysfunction is one over X. Yes, we're looking for good theater or candy or option D or adoption be ocean 80 out. Why? To be born to export Our T T T minus three and an auction DVD now Want to be in federal high Ex born over T d T minus three. Name three. So, um, let's first find the dirt. Everything Your i d. X from equation, too before part A as world rings and in part D u I D X is also work over. So we get this first part. Let's like this value in and less related function. One exit with pine. Why, one exit could supply for the 1st 1 Ezio in triangle 12 pi born over T t T minus three. And in the second world we have Why is it pretty integral? I won over t d t minus pre integral from wanted pie. When over TV t will be different than zero. Right? So why would that I will let the next retreats. It's Can't be it now. Own auction beat up. We have been triggered from plant to plant, so this part is zero. So now why it will it lead by three and which is when it's given right here? So we'll say that option B is a solution to be given a problem.

In this problem were given an initial problem in there where are given a set off solutions They were asked to decide or which sent satisfies essentially what we home also looking into the river to divide the eggs secret. Next, we could either have option B a solution so wise it could be your ex. Six. T d t. What's four Or they could have artsy Or why has given exterminator one ex sick on T t waas four. So we can use equation to actually be able to use it Provocation to be known as the everything for personal. And then Elif I seek eggs and again question to tells us today with their or option c also be sick on X So there it is are the same, and everything are informed that you're looking for Let's find devalue fortunate words that begin with foreign take zero So why zero for soil then the struggle 00 seek on t v teeples for where zero to Syrian Tegal itself is zero. So while or zero in the second army have 10 easy but the negative 10 see plenty. E t lost four since this entire girl. Negative wanted. Your see, Continuity is different than your then this particle much people. All right. But we wanted to be because given into problem statement. So we will say that part B is a solution that we're looking for.

Turn. This will get four different functions about a thirteen on distortions, which so this li what readies? In which case have I wasted all from Prague? No prime equals c can't of X and why evaluated up negative one is equal to four. So, uh, things we have here So since the derivative of why we wanted to be C camp and we know here that if we have so that's what we call a definition for and close Still, if we have during that, if with respect to X from a constant thanks the function of let's say, tea with respected T thiss is going to be equal to this integral function. Um, evaluated at X right with Finn mind. Since we have c can't hear we want I'm very highly suspect that it's either see, count this c or B because they have to speak and hear. Um, so now we just need to so we've narrowed it down to two. Now we're going to use this other part to pick between Easter. So starting with the B, let's say that in this case, excuse holes minus one is that it's this initial data. So why had negative one. That's why we're talking about this one here right now. Um, we have Syria to one we can t with respected T. That's four. No, ideally the Why that were looking for when a valued at a negative. Want a sequel to four. So in this case, so in this case necessary Eso? Yes. In this case, we have four plus something else. So then getting people so totally so Restaurant's been have added ability. But Mr Name this horse happens not to have you wait, but shit, this's simple. Waited for this one. Yeah. Um So taking out this Why? Evaluating it? Evaluating it At what? X equal to minus one. We have we have the into cramped and tickle the negative one. Now X is negative one we have seek and fifteen with, respectively. Plus four. No. Now take a look Here at the integral. It's from negative home to negative one. That means the this whole thing a sequel to zero. So we're just left with four. And look at that. This two minus one is four. Therefore, though, that these are satisfied. So our answer here would be seen


Similar Solved Questions

5 answers
Show the reaction of ASA with NaHCO3 (sodium bicarbonate) Indicate which layer (aqueous or organic or both) each component in the reaction will mainly reside in .
Show the reaction of ASA with NaHCO3 (sodium bicarbonate) Indicate which layer (aqueous or organic or both) each component in the reaction will mainly reside in ....
5 answers
Find All the lirst crder partial derivatiaesJu a.2= W#Svflx,y,2l-"inx6{=*>
Find All the lirst crder partial derivatiaes Ju a.2= W#Sv flx,y,2l-"inx 6{=*>...
5 answers
Use the graph of K (1) to find h(3). h(6) . and h(9) given h(O) 55. Then sketch h(-)10Az = 6K(1)-
Use the graph of K (1) to find h(3). h(6) . and h(9) given h(O) 55. Then sketch h(-) 10 Az = 6 K(1) -...
5 answers
1.4.49 0f 64 (59 corrplote) HW Score: 90.63%6, 58 064 p Write slope-intercept equation for the point (5, passing through the polnt Question Heip that perpendicular the Tine paralle La / 4 Unan KT second tqunbon E lo Tne equation Ine Dusang the paralle Nonn (Simplify your answer Type your answor slope-intetcop form: Use Iloqers truclona %um " numbcn the oxpression )
1.4.49 0f 64 (59 corrplote) HW Score: 90.63%6, 58 064 p Write slope-intercept equation for the point (5, passing through the polnt Question Heip that perpendicular the Tine paralle La / 4 Unan KT second tqunbon E lo Tne equation Ine Dusang the paralle Nonn (Simplify your answer Type your answor s...
5 answers
Find the volume V of the solid obtained by rotating the region bounded by the given curves bout the specified line_y = 2 Zx,y = 0,* =0,* =1; about the x-axisSketch the region;
Find the volume V of the solid obtained by rotating the region bounded by the given curves bout the specified line_ y = 2 Zx,y = 0,* =0,* =1; about the x-axis Sketch the region;...
5 answers
Essentially all of chemistry can be explained in terms ofCHARGEand DISTANCE (Coulomb's law): There are four factors that influence valence electron and its interaction with the nuclear
Essentially all of chemistry can be explained in terms ofCHARGEand DISTANCE (Coulomb's law): There are four factors that influence valence electron and its interaction with the nuclear...
5 answers
H 'W Account B has Tie W 1 1 3,89 growth Anowin ; zhcdctor: APR "(fetor: APR accounts . compounded daily: compounded monthly give the growth 1 1 1 factor per 1 0 Preeicew 365 days compounding period, In(lc Yeil 1 uu I Erowh Iector und thcanmtal 1
H 'W Account B has Tie W 1 1 3,89 growth Anowin ; zhcdctor: APR "(fetor: APR accounts . compounded daily: compounded monthly give the growth 1 1 1 factor per 1 0 Preeicew 365 days compounding period, In(lc Yeil 1 uu I Erowh Iector und thcanmtal 1...
5 answers
Draw the condensed structural formula for each of the following:a. diethyl etherb. cyclobutyl methyl ether
Draw the condensed structural formula for each of the following: a. diethyl ether b. cyclobutyl methyl ether...
5 answers
Determine whether the set equipped with the given operations is vector space; For those that are not vector spaces identify the vector space axioms that fail,The set of all 2matrices of the form2|with the standard matrix addition and scalar multipl catiorVis not vector space and Axiomsfail to hold_Vis vector spaceVis not vectoi sace and Axioms 6 9 fail to hold_Vis not vector space and Axioms 1, 4,fail to hold,Vis not vector space and Axiomsfail to hold_
Determine whether the set equipped with the given operations is vector space; For those that are not vector spaces identify the vector space axioms that fail, The set of all 2 matrices of the form 2| with the standard matrix addition and scalar multipl catior Vis not vector space and Axioms fail to ...
5 answers
Using the Gauss-Seidel iterative method, for linear system of n unknowns and equations; in solving the unknown xi; find an expression for the number of variables that must be used from the previous iteration k (Hint: think of the simple 3x3 system):A n-(i-1)B. n-iC; n-(i+1)D.n-i-2
Using the Gauss-Seidel iterative method, for linear system of n unknowns and equations; in solving the unknown xi; find an expression for the number of variables that must be used from the previous iteration k (Hint: think of the simple 3x3 system): A n-(i-1) B. n-i C; n-(i+1) D.n-i-2...
5 answers
Suppose that; there are 9 data in a set with meanaverage) 12 If we add one more data value to this set as 12. What will be the new average?Select one; 120108
Suppose that; there are 9 data in a set with meanaverage) 12 If we add one more data value to this set as 12. What will be the new average? Select one; 120 108...
5 answers
2x3 31 Find: f8 dx =? 2.4 622+5A. 1n 5B. 0C. In5 4D.In 5
2x3 31 Find: f8 dx =? 2.4 622+5 A. 1n 5 B. 0 C. In5 4 D. In 5...
5 answers
9} Evaluate[ 6 (S- *- Zy) dydx
9} Evaluate [ 6 (S- *- Zy) dydx...
5 answers
Stotic EquilibriumTriceps{20) The arm is pushing down and slightly rightward on the table (so the table pushes backl} In order to do thls, the triceps creates clockwise torque about the elbow joint located 2.4cm from Thc hand 30cm from the Ibow and tne table' force on the hand 15Nat 10" from vertical, as drawn_ Find the tticeps force magnitude: This force straight uP, vertically.30 cm2.4 cmFInd the force vector of the elbow joint on the arm;
Stotic Equilibrium Triceps {20) The arm is pushing down and slightly rightward on the table (so the table pushes backl} In order to do thls, the triceps creates clockwise torque about the elbow joint located 2.4cm from Thc hand 30cm from the Ibow and tne table' force on the hand 15Nat 10" ...
5 answers
Then dend xPzAf 1 seinmuoSince" 13Integrals give 92(13dt) 36jat (13t 13)(1Jat)tnc Paramciti
Then dend xPzAf 1 seinmuo Since " 1 3 Integrals give 92(13dt) 36jat (13t 13)(1Jat) tnc Paramciti...
5 answers
1 JV 1 1 tullol Uld uullviumjin) Question L curpolatonntln 111 AnlAlteemrmuerdonn
1 JV 1 1 tullol Uld uullviumjin) Question L curpolatonntln 1 1 1 AnlAlteemrmuerdonn...
5 answers
QuesTionOne of the indicators for nuclear reaclor Ieakage Is the release of heavy water to the environmant This results in changing the composition of water; H2O and 02O Infrared spectroscopy can detect this changa the water composilion .7010Mtanumbeniem TWnic h one vibrating with the fastest eneedSucon 0 Hin HzO o 0-D in D20?
quesTion One of the indicators for nuclear reaclor Ieakage Is the release of heavy water to the environmant This results in changing the composition of water; H2O and 02O Infrared spectroscopy can detect this changa the water composilion . 7010 Mtanumbeniem T Wnic h one vibrating with the fastest e...
5 answers
Mnnm enunnnnT0x (cm)]W2a(b)10(cm)2qItaq
Mnnm enunnnn T0 x (cm)] W2a (b) 10 (cm) 2q Itaq...

-- 0.021063--