Example 12.27.  Use Laplace transforms to solve the system

               

Explore Solution 12.27.

Enter the initial conditions and the system of  D.E.s.  Then Laplace transform the D.E.s and solve for the transforms Y[s] any X[s] and the functions y[t] and x[t].

Aside. We can substitute y[t] and x[t] into the D.E.'s and verify that they are the solution.

Aside. We use Mathematica/s DSolve package to solve the system of D.E.'s and plot the solution.

(c) 2006 John H. Mathews, Russell W. Howell