xy'' + y' = 0
Is it ok to multiply this whole equation by x to make it a cauchy-euler equation?
Why not just put w=y' and then solve using an integrating factor?
Because this equation is under the cauchy-euler section of my book, so Im trying to figure out how it is done even though its not linear. Does anybody know if its possible to solve this as a cauchy-euler equation?
In that case, I believe you can multiply throughout by x and solve it so.
Actually, the diff. eq. is linear. Why do you think it's not?
Definitely yes, although as others have pointed out, that isn't the only way. But it is easy and quick.
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