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## Homework Statement

[tex]2y(1+x^2\sqrt{y})dx + x(2+x^2\sqrt{y})dy = 0[/tex]

## The Attempt at a Solution

well, I substituted x^2√y=u but then when I tried to differentiate it I understood it would be so hard. Please check and see if I've differentiated it correctly:

√y = u/x^2 -> y = u^2.x^-4 -> dy/dx = 2u.u'x^(-4) - 4x^(-5).u^2

Is that correct? if yes, then I think I've just made the problem harder. how can I solve that ODE?