..I'm trying to help this friend of mine over the internet on diff. equations. I understand the subject rather well but I'm stumped on this Inverse Laplace Transform.
What's the inverse laplace transform of -2s^2 ? I can't seem to find it on any table of laplace transform.
Here's the problem with my work.
Use the Laplace transform to solve
Work (that i'm explaining to him):
From the property 30 here.
Pauls Online Notes : Differential Equations - Table Of Laplace Transforms
Going back to the problem.
y(0) = 0
Mr F says: The mistake is in this line. The coefficient of Y' is -s^2 ....
It is the form : (Linear).
Use the integrating factor method.
The solution is the form:
Take the inverse transform.
This is where I'm stuck... I need to take the inverse Laplace transform of:
, Where C is a constant.
After finding y(t) , I'll be able to find the constant...