Solve:
Now dx/dy (xy) refers to the differentiation of xy with respect to x
Using product rule
When we put it back originally in the differential equation given,
Divide by x
Compare
We get
The above equation is a linear differential equation with P and Q as functions of x
The first to find the solution of a linear differential equation is to find the integrating factor.
The solution of the linear differential equation is
Substituting values for Q and IF
Find the integrals individually,
Using uv for integration
Now
Use product rule
Substitute (i) and (ii) in (a)
Divide by