In each of the following differential equation show that it is homogeneous and solve it.
(x - y) 
= x + 3y
⇒ 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
⇒ log|x + y| + 
= C
Ans: log|x + y| + 
= C
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