I have been given the equation:

dp/dt = 4 + 1/e*(d/de(e*dp/de))

the d's are partial derivatives

I am trying to solve for p. i am told to make the assumtion that the equations are separable and then convert the equation into a ordinary differential equation.

What i have done so far:

Set the RHS = 0 4 + 1/e*(d/de(e*dp/de)) = 0

use chain rule: 4 + 1/e*dp/de + d/de(dp/de)

is what i have done correct????????