exercise 3

Solve the given differential equation. The form of yo is given. Day + 6Dy + 5y = -35 (Lety = A.) Choose the correct solution below. c, and co are arbitrary constants. O A. - 5X - X y = Ge + cze - 35 OB. y = que - 3+ege -2 -7 - 5X O C. y=ce 5x + coe -X - Te OD. . y= Ge - 5x - X + coeSolve the given differential equation. The form of yo is given. Day + 4y = - 20 sin 2x (Let y = Ax sin 2x + Bx cos 2x.) Choose the correct solution below. c, and cz are arbitrary constants. O A. y= c, sin 2x + C2 Cos 2x + 5x cos 2x O B. y= c, sin 2x + co cos 2x + 5x sin 2x O C. y= c, sin 2x + cy cos 2x - 5x sin 2x O D. y= c, sin 2x + cy cos 2x - 5x cos 2xAn object moves with simple harmonic motion according to D-x + 0.6Dx + 144x =0, D = d/dt. Find the displacement as a function of time, subject to the conditions x = 4 and Dx = 0 when t = 0. Choose the correct answer below. O A. x= 4 cos 12t O B. x= 0.10e- + 4e- 4t O C. x= e-0 30t (0.10 sin 243t + 4 cos 2