For each of the differential equations given in question, find the general solution:
y dx + (x – y²)dy = 0

Question

For each of the differential equations given in question, find the general solution: y dx + (x – y 2 )dy = 0

Philoid · Accepted Answer

It is given that

This is equation in the form of (where, p = and Q = y )

Now, I.F. =

Thus, the solution of the given differential equation is given by the relation:

x(I.F.) =

Therefore, the required general solution of the given differential equation is .

For each of the differential equations given in question, find the general solution:y dx + (x – y2)dy = 0