1. ## second order differential-equations

1) D^2 (y) - dy = (1+e^x)^2

D^2 represents second order differential ie d/dx * d/dx

2. Originally Posted by ceode
1) D^2 (y) - dy = (1+e^x)^2

D^2 represents second order differential ie d/dx * d/dx
Reduce the order.

Let $\displaystyle u = y'$, then you have

$\displaystyle u' - u = (1 + e^x)^2$

This is a first order ODE, solve it for $\displaystyle u$. You will then be able to solve for $\displaystyle y$