Q. 185.0( 1 Vote )
Find the general solution of y2dx + (x2 – xy + y2) 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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