Q25 of 30 Page 961

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:


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