Use the Laplace transform to solve the following system. THE WORK MUST BE DONE IN MATLAB. Submit one copy per group, in which ONLY the following should be visible (to hide a command's output, end it with semicolon):

1. an assignment title, names of all group members; for this you can use a string: i.e. 'this is not it but single quotes around this will do it'

2. definition of the differential equations in the system with names deqn1, deqn2; you will need to declare the symbolic variables with syms followed by your variables' names

3. equations obtained after applying Laplace with names eqn1, eqn2

4. same equations with ALL IVCs subbed in AND L{x} = X notation convention; recycle the names eqn1, eqn2 and use the subs command - i.e. eqn1 = subs(eqn1, old var, new var); for IVCs like x'(0) = x1 you'll need to use a string substitution, i.e. eqn1 = subs(eqn1', D(x)(0)' ,x1); if substitution done in several steps, show only the final step

5. X and Y isolated for; use the command solve([your equations], [your variables])

6. x and y solutions

7. show NO OTHER LINES OF CODE or COMMENTS. x" + y" = exp(3t)

2x' + y" = exp(3t) x(0) = 0, x'(0) = 0, y(0) = 0, y'(0) = 0