Solve the following initial-value problems:

(a) (c) dx dt (d) dx d.x (b) 3-2-x = 2t - 1, dr dt x(0) = 7, x(0) = 0, dx dt d.x 2- + 5x = 1, x(0) = 0, dt dx d.x +2- dt dt dx dt - - d.x dx dt + dt d.x dt -(0) = 2 = + x = 4 cos 2t, d.x dt dx 5dx dr dt -(0) = 2 -2e, x(0) = 0, d.x x(0) = 0,0)=1 -(0) + 2x = 2e-4, ,d.x dt +17 x(0) = 1, x dt + 13x = 1, d.x dt d.x dx dx (0) = 1, (0) dt -(0) = 1 -(0) = 0 -(0) = 0