What is a general solution to the differential equation #y'+2xy=2x^3#?
The Gen. Soln. is,
This is a Linear Diff. Eqn.
To find its Gen. Soln. , we have to multiply it by, Integrating
Factor given by,
Comparing the given diff. eqn. with
Multiplying the eqn. throughout by
To evaluate the integral, say
this is not separable. we can use an integrating factor
and spotting the pattern in the integrand