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- Apr 13, 2013

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Given the [tex] x^{2}y''+axy'+by=0[/tex],I have to show that with replacing [tex] x[/tex] with [tex]e^{z}[/tex],it becomes a second order differential equation,with constant terms.

I tried to do this and I got this: [tex] y''+\frac{a}{e^{z}}y'+\frac{b}{e^{2z}}y=0 [/tex].

But,at this equation the terms aren't constant What else could I do??