Find the general solution of y2dx + (x2 – xy + y2) dy = 0.
given: ![]()
To find: solution of given differential equation
Re-writing the given equation as
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It is clearly a homogenous differential equation
Assuming x=vy
Differentiating both sides
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Substituting
in the given equation
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Now substituting ![]()
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Integrating both sides
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Formula: ![]()
Substituting ![]()
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