Hi everyone,
I need help starting the following problem:

Find the approximate solution to:

\epsilon \frac{d^4 u}{dt^4} - e^{t}\frac{du}{dt} = 1, \quad 0 < t < 1

u(0) = u(1) = u'(0) = u'(1) = 0

Any help on how to approach the problem would be greatly appreciated.
I read everything I could find online but it's not helping