Question

# How do you solve linear first-order differential equations?

First order differential equations
To solve the linear equation $$y'+P(x)y=Q(x)$$, multiply both sides by the integrating factior $$\displaystyle{v}{\left({x}\right)}={e}^{{\int{P}{\left({x}\right)}{\left.{d}{x}\right.}}}$$ and integrate both sides.