Then sub the stim into the driving function, solve, than transform back to time domain
using exponential function and solve that pluging in knowns.
If the ramp is slow compared to the time constant, the response will look like it tracks the ramp. If it is fast compared to the time constant, the response will look like a step response.A quick check on your work is the following (in RC time constants) -
5 time constants get you to ~ 99% of the final value.
Just realized your input is a ramp, but its slow enough above should still