I'm given that an Euler equation (*) is of the form:

where a and b are constants. Then I'm told, let x=lnt, and calculate dy/dt and d^{2}y/dt^{2}in terms of dy/dx and d^{2}y/dx^{2}.

I found:

But then I had problems with d^{2}y/dt^{2}.

This is what I got:

then subbing into (*) is good, except for d^{2}y/dtdx term.

Any help would be greatly appreciated