How to solve first-order linear ordinary differential equation?

Dy/dx + P(x) = Q(x)

This is the correct initial form.  Convert to this form if necessary.
Next find the integrating factor    ∫ Pdx.
                                                e

Then  Multiply everything by this factor  and verify that left side is product rule.

Integrate both sides.

Solve  for  y

Note sometimes an equation will be exact - that is the left side will be the product rule already so there is no need to employ the integrating factor in this case.

Idon’t know this and this isn’t middle school work