Find all the solutions for the equation:
2y2 dx - (x+y)2 dy=0
(introduction to differential equations)

Divide both sides by to get

Substitute , so that . Then

The remaining ODE is separable. Separating the variables gives

Integrate both sides. On the left, split up the integrand into partial fractions.

Then

On the right, we have

Solving for explicitly is unlikely to succeed, so we leave the solution in implicit form,

and finally solve in terms of by replacing :

the last choice

step-by-step explanation:

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step-by-step explanation:

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