Let Y ( s ) = L [ y ] {\displaystyle Y(s)={\mathcal {L}}[y]} be the Laplace transform of the solution y ( t ) {\displaystyle y(t)} to the following initial value problem:
where g ( t ) {\displaystyle g(t)} is the function defined in (a):
(c) Calculate the inverse Laplace transform of Y(s) obtained in (b) to find the solution, y(t), to the IVP in (b).
![{\displaystyle Y(s)={\mathcal {L}}[y]}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/1c9239b4a12141267f9c9902cb3c4d4d759f1346)
be the Laplace transform of the solution 
to the following initial value problem:
is the function defined in (a):
