For a first order linear differential equation the solution process is as given below:

1. Place the differential equation in the correct initial form, (1).

2. Determine the integrating factor, µ (t) and using (10).

3. Multiply everything in the differential equation through µ (t) and verify that the left side turns into the product rule (µ (t) y(t))' and write this as such.

4.   Integrate both sides; ensure you properly deal along with the constant of integration.

5.   Resolve for the solution y(t).