Solve the following differential equations:

Question

Philoid · Accepted Answer

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