Repeat Problem 21 in Chapter 1, using Laplace transforms. Use the following initial conditions for each part as follows:

(a) x (0) = 4; x´(0) = -4;

(b) x(0) = 4; x´(0) = 1;

(c) x(0) = 2; x´(0) = 3, where x´(0) = dx/dt(0).

Assume that the forcing functions are zero prior to t(0).

Data From Problem 21 in Chapter 1:

Solve the following differential equations using classical methods and the given initial conditions:

a. 

b.

c. 

dx dx +2 + - 2x = sin2t dr dt dx x(0) = 2; 7(0) = - dt