Find the particular solution of the different equation.2xy + y2 - 2x2 = 0, it being given that y = 2 when x = 1

2xy + y2 - 2x2 = 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



Now,


y = 2 when x = 1





Ans:


1