In each of the following differential equation show that it is homogeneous and solve it.

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⇒ the given differential equation is a homogenous equation.
The solution of the given differential equation is :
Put y = vx
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Integrating both the sides we get:
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Resubstituting the value of y = vx we get
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⇒ (x2 - y2) = cx
Ans: (x2 - y2) = cx