Solve the following differential equations:

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


Integrating both sides



Using identity:



and substituting x2 = t and y2 = v


x2 = t


2xdx = dt



Similarly, for y


y2 = v


2ydy = dv



Substituting these values in above integral equation




Substituting the values of t and v in above equation




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