I have the following two ODE's

$\displaystyle \frac{d^2y}{dx^2} = -p^2y+1

$

$\displaystyle \frac{d^2y}{dx^2} = -(p+1)^2y$

And am asked which is linear and which is homogeneous.

Then I must find the general solution for the second and the particular solution with dy/dx=0, y=1 when x=0

Any help is greatly appreciated.