Hello

im stuck on the following differential equation. I understand since it linear we find the general solution by finding the complementary function and adding it together with a particular integral. Im stuck because in this example the RHS has both a linear function and an exponential and im unsure of how to go about doing the trail function subsitution.

Find a solution to the following differential equation

$\displaystyle dy/dx + 4y = 4x + e^x $

with $\displaystyle y(0)=0$

iv gotten as far as the CF = $\displaystyle Ae^-4x $

any help most appreciated