- #1

fluidistic

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## Homework Statement

Find the general and singular solutions of the following DE:

[itex]x^2 (y')^2-2(xy-4)y'+y^2=0[/itex].

## Homework Equations

Not sure. A friend of mine told me it's a Clairaut's equation but I couldn't even reduce the given one into a Clairaut's equation.

[itex]y(x)=xy'+f(y')[/itex]

## The Attempt at a Solution

Literally stuck on starting. I checked out for the homogeneity of the DE but it's not. Maybe Bernoulli can come into action... but I'm not sure.

Any tip is greatly appreciated, as usual.