- #1

fluidistic

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## Homework Statement

Find the general solution to ##A(x)y''+A'(x)y'+\frac{y}{A(x)}=0## where A(x) is a known function and y(x) is the unknown one.

Hint:Eliminate the term that contains the first derivative.

## Homework Equations

Not sure.

## The Attempt at a Solution

So I don't really know how to tackle it. I guess that the hint suggests a change of variable that would get rid of the y' term. So I tried z=y'A, z=Ay and z=y/A. All failed to express the ODE as a function of z and its derivative(s) and A and its derivative(s).

I am therefore stuck. Any other hint will be welcome!