Q. 185.0( 1 Vote )

# Find the general solution of y^{2}dx + (x^{2} – xy + y^{2}) dy = 0.

Answer :

**given**:

**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

Substituting in the given equation

Now substituting

Integrating both sides

**Formula:**

Substituting

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