Solve the following differential equations:
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