I did a lot of diff eq about 20 years ago. I have tried different ways I could think about and find in books or internet, but now I need a little help.

I will check for matricies.

Thanks

]]>It's been a long time for me as well (ok... 2 months... but still...), I know you can solve any 2nd degree equation (that is solvable) using matricies. But I don't believe there is any simpiler form for this equation.

How much about diff eq do you know? Is this a course in it or are you just studying yourself? Have you used matricies to solve differential equations in the past?

]]>I'm a little rusty on diffEQ (what I've had of them, anyway), but don't you need to integrate both sides? In this case, you'd have to do it twice.

I've also not had multivariable calculus, so I'd need to separate the variables.

So, solving for x, we find that

x = -y′ / (y″ - my)

Integrating both sides gives:

1/2 x² + C = ∫[ -y′ / (y″ - my) ]

The integral on the right evades me. Sorry.

]]>xy"+y'-mxy=0

or

my=y"+y/x

It comes from the Laplace transform of a problem of heat conduction in polar coordinates.

Thanks

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