For t>0, let F(t) be the Phi-periodic function which on [0,pi] has the graph attached to this problem.
a) Solve the IVP
b) Graph the solution on the interval [0,3pi]
c) Discuss the behavoir of the solution in relation to the equation.
For the solution please use Laplace transformations and partial fractions.
An IVP is solved using a graph, an inverse laplace transformation, and partial fractions. The solution is graphed and discussed. The solution is detailed and well presented.