Find one-parameter families of solution curves of the following differential equations:

Question

Philoid · Accepted Answer

Given

This is a first order linear differential equation of the form

Here, and Q = x³

The integrating factor (I.F) of this differential equation is,

We have

∴ I.F = x [∵ e^{log x} = x]

Hence, the solution of the differential equation is,

We know

Thus, the solution of the given differential equation is