(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the...
(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...
Exercise 2.5.152: Apply the method of undetermined coefficients
to find the general solution to the following DEs. Determine the
form and coefficients of yp
Exercise 2.5.152: Apply the method of undetermined coefficients to find the general solution to the following DEs. Determine the form and coefficients of yp a) y" – 2y' = 8x + 5e3x b) y'"' + y" – 2y' = 2x + e2x c) y'' + 6y' + 13y = cos x d) y'" + y" –...
For each nonhomogeneous linear equation below, determine what the guess solution yp would be for the method of undetermined coefficients. with steps! Thank you (a) y′′ − 4y′ + 13y = 80e−3t (b) y′′−6y′+9y=(t+1)e3t (c) y′′+4y=sin(2t)+t3−1 (d) 4y′′ − 4y′ + y = 16et/2
5. Use the method of undetermined coefficients to find the general solutions of the fol- lowing nonhomogeneous equations (a) y'' – y = 12xe® + 3e2x + 10 cos 3x (b) y" + 4y = 2 cos 2x sin 2x (c) (Euler Equation) x²y" – 4xy' + 6y = x², x > 0
Solve by the Method of Undetermined Coefficients. 1. " - 3y' - 4y = 3e2x (ans. y = C1e4x + cze* - e2x) 2. " - 4y = 4e3x (ans. y = C1 e - 2x + C2 e 2x + 4/5 e3x) 3. 2y" + 3y' + y = x2 + 3 sin x (ans. y = ci e-* + C2 e-x/2 + x2 - 6x + 14 - 3/10 sin x- 9/10 cos x) 4. Y" + y'...
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...
IV. Determine the form for yp but do NOT evaluate the constants. 1. y" - 5y' + 6y = ex cos 2x + e2x(3x + 4) sin x (ans. this is #21(a) in sec. 3.6) 2. y" - 3 y' - 4 y = 3 e2x + 2 sin x - 8eXcos 2x (ans. Yp = Ae2x + B cos x + C sin x + De* cos 2x + E e sin 2x) V. Solve by variation of parameters....
Question 4
4. Determine what the guess solution yp would be for the method of undetermined Coefficients, for each non homogeneous linear equation : q. y" + 4y = sin(2t)+ + - 1 t/ b. 4y" - 4y + y = 16e
help with questions number 4 and 5 only
sorry I cropped it
Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain the general solution y = yet Yp! 1. y" – 8y' – 48y = x2 + 6 2. y" – 6y' = sin (2x) 3. y' + 9y = xe6x Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain...
Solve the differential equations using Method of Undetermined Coefficients 1. y" - y = 12 e 5x 2. y" + 4y = 16 cos 2x 3. y" – 3y' + 2y = 12 e2x 4. y" – y = x2 + 3xex