Answer :

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


Integrating both sides



Using identities:


and for RHS assuming x2 = t (substitution property) and differentiating both sides


Now, 2xdx = dt



Substituting the above value in the integral and replacing x2 with t and integrating both sides




Now replacing t by x2



Taking anti - log both sides


y2 = 1+x2



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