I did do that and I did get p'(x)=c exp(2*(x-x^3)) also...yeah I do need an explicit solution...and this is also where I got stuck because I couldn't see how to solve for p explicitly
Does anyone have any guidance on how to solve a problem of thes form
p''(x) - 2(1-3x^2)p'(x) = 0
It looks very similar to a characteristic equation, but the coefficients aren't constant