I would appreciate an explanation Lecture 12 The method of undetermined coefficients works for which of...
Use the method of undetermined coefficients to find a particular solution to the given higher-order equation. 9y'"' + 3y'' +y' – 2y = e = A solution is yp(t)=
8. Find the solution to the differential equation y"+2y'+y=sinx using the method of undetermined coefficients. 1 COS X (a) y=ce' +ce' + -cosx 2 (b) y = ce' +cxe'+ (c) y = cxe' +cze cos x (d) y= c,e* + c xe" COSX 1 (e) y=ce' + ce + sinx 2 (f) y=ce' + exe* + sin x 2 (g) y=cxe' + e*- sinx 2 (h) y=ce' + cxe' 1 sinx 9. Use the method of undetermined coefficients to find...
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp (2) = Ac? + Br + C, B.yp (2) = AeaF, C. yp (2) = A cos 2x + B sin 2x, D. Yp(x) = (Ar + B) cos 2x + (Cr + D) sin 2x E. yp () = Are, and F. yp(2) = (A cos 2r + B sin 2x) - care se on rest...
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x) = Ar? + Bx + C, B. yp(x) = Ae2t, C. yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axezt, and F. yp(x) = e3* (A cos 2x + B sin 2x) 1. dPy dx2 dy 5- dx +...
(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)....
Match the differential equation with it's particular solution form. You MUST use the method of undetermined coefficients and you MUST show all work as to how you came to your conclusions. You have ONE (1) attempt at this problem a. Aest b. Ae24 y'' - 6y' + 5y = (4t+5)e5t Vy' – 6y' + 5y = e2t ✓y'' – 6y' + 5y = est y'' – 6y' + 5y = (4t+5)e24 y'' – 4y' + 4y = 5 y'' –...
Match the differential equation with it's particular solution form. You MUST use the method of undetermined coefficients and you MUST show all work as to how you came to your conclusions. You have ONE (1) attempt at this problem 5t a. At’e -56 5t 4t b. Ate 5t 5t cđe Vy' + 2y' – 8y = (4t+5) - Vy' + 10y' + 25y = e - Vy" + 2y' – 8y = e y' + 2y' – Sy = (4t...
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(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...
Consider the following nonhomogeneous linear differential equation ay 6) + by(s) + cy!4) + dy'"' + ky'' + my' + ny=3x²3x - 7cos +1 where coefficients a, b, c, d, k, m, n are constant. Assume that the general solution of the associated homogeneous linear differential equation is YAEC,+Ce**+ c xe** + c.xe3* + ecos What is the correct form of the particular solution y of given nonhomogeneous linear differential equation? Yanitiniz: o Yo=Ax*e** + Ex + F **+Cxcos() +oxsin()+Ex+F...
<HW#9 (Chapter 12) Problem 12.120 For the beam shown, I E is constant. (Figure 1) P De EX Figure < 1 of 1 > Provide F Type here to search Part B Determine the vertical reaction at support A. Express your answer as an expression in terms of the variables wo and L and any necessary constants. VAXO 11 vec o ? a р y 8 € n e K 2 M V р o T ф X y 0...