This is a standard second order linear ordinary differential equation.

We first look for the general solution of:

For this take a trial solution , then as:

we have:

so if

and so

So the general solution to is:

where and are arbitary constants.

Now to get the general solution to we take any solution of this equation and add on the right hand side of above. An obvious solution is V(P)=cP, so the general solution is:

RonL