The equation written in terms of LT is...
... and from (1) we obtain as...
The solution is the inverse LT of (2)...
I am having a bit of trouble with heavy side functions. One of the questions from a past exam paper I am looking at asks:
Use Laplace transforms to solve the initial value problem
subject to initial conditions
Here H is the Heaviside (unit step function). I am totally confused on how to go about this. If anyone could please show me step by step I would greatly appreciate it because my lecturers notes on this particular question don't really explain much.
, and using the solution when , then for solving the IVP:
with initial conditions at determined from the other solution at this point.