Q. 215.0( 1 Vote )

Solve the following differential equations:


Answer :

Re - writing the equation as (1 – x2) dy = xdx(y2 – y)

Now separating variable x on one side and variable y on another side, we have




Integrating both sides





Using identity:



and assuming x2 = t


Differentiating both sides we get,


2 x dx = dt



Substituting this value in above equation



Replacing t by x2



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