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in Differential Equations by (50.2k points)
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Find the general solution of y2dx + (x2 – xy + y2) dy = 0.

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Best answer

Given: y2dx + (x2 – xy + y2) dy = 0.

To find: solution of given differential equation

Re-writing the given equation as

It is clearly a homogenous differential equation

Assuming x=vy

Differentiating both sides

Integrating both sides

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