Question

2. Given the nonhomogeneous 2nd order differential equation y +2y = xe*: (8 pts) a. Identify the forcing function (ie. the n
0 0
Add a comment Improve this question Transcribed image text
Answer #1

(B criven y42 -Y X 43 (%{29 : 18 ny42 518 6 ) (0) - 64- FuKity eq9 give y e() =0. m2+2=0 - -) า - 2 gt3 =0, 5 = 1 complimentg(x) = a cofas x) = c2 Stock x) + (941) 7° 960)=2, 40(0) = -1 oa if x=0 y(0) G cosota Sinot e Comi) CES 2 CitGolt Į 37 a tha

Add a comment
Know the answer?
Add Answer to:
2. Given the nonhomogeneous 2nd order differential equation y" +2y = xe*: (8 pts) a. Identify...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider the nonhomogeneous second order linear equation of the form y" + 2y' + y =...

    Consider the nonhomogeneous second order linear equation of the form y" + 2y' + y = g(t). Given that the fundamental solution set of its homogeneous equation is {e**, te' } For each of the parts below, determine the form of particular solution y, that you would use to solve the given equation using the Method of Undetermined Coefficients. DO NOT ATTEMPT TO SOLVE THE COEFFICIENTS. a) y" + 2y' + y = 2te b) y" + 2y' + y...

  • 2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential...

    2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in y, (a) (10 points) y" – 9y' - 22y = 5xe -2x (b) (10 points) y" - 4y + 29 y = 8xsin 3x

  • (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation...

    (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution ур of the nonhomogeneous equation. Do not solve for the undetermined coefficients in yp (a) (10 points) y" – 9y' – 22 y = 5xe -2x (b) (10 points) y" – 4y' + 29 y = 8x sin 3x

  • (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation...

    (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in yp: (a) (10 points) y" - 9y' - 22y = 5xe-2x (b) (10 points) y" – 4y' + 29 y = 8x sin 3x

  • a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x)

    a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x) b. Find the most general solution to the associated homogeneous differential equation. Use cand in your answer to denote arbitrary constants. c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 8 and y'(0) = 4 

  • please states whaere the answer is . (1 point) Solve y" + 2y + 2y =...

    please states whaere the answer is . (1 point) Solve y" + 2y + 2y = 4te-cos(t). 1) Solve the homogeneous part: y" + 2y + 2y = 0 for yo, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = 0^-t)cos( + e^(-t)sin((3 - 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing e...

  • a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) +...

    a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...

  • (1 point) Solve y" + 2y' + 2y = 4te* cos(t). 1) Solve the homogeneous part:...

    (1 point) Solve y" + 2y' + 2y = 4te* cos(t). 1) Solve the homogeneous part: y" + 2y' + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 te^(-+)*cost +C2 te^(-t)*cost 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing et cos(t) = Re(el-1+i)t). You will solve...

  • 38. In many physical applications, the nonhomogeneous term F(x) is speci- fied by different formu...

    Method of Undetermined Coefficients 38. In many physical applications, the nonhomogeneous term F(x) is speci- fied by different formulas in different intervals of r. (a) Find a general solution of the equation 1, 1 r. Note that the solution is not differentiable at x = 1. (b) Find a particular solution of 1,1sr that satisfies the initial conditions y(0)0 and y' (0)-1. 38. In many physical applications, the nonhomogeneous term F(x) is speci- fied by different formulas in different intervals...

  • (1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part:...

    (1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part: y' + 2y + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 e^(-t)sin(t) +C2 e^(-t)cos(t) . 2) Compute the particular solution yp via complexifying the differential equation: Note that the forcing e * cos(t) = Re(el 1+i)t)....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT