Q. 75.0( 1 Vote )
In each of the following differential equation show that it is homogeneous and solve it.
2xydx + (x2 + 2y2)dy = 0
Answer :
2xydx + (x2 + 2y2)dy = 0
⇒ the given differential equation is a homogenous equation.
The solution of the given differential equation is :
Put y = vx
Integrating both the sides we get:
Resubstituting the value of y = vx we get
⇒ 3x2y + 2y3 = C
Ans: 3x2y + 2y3 = C
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