A first order differential equation of the form [br][math]\frac{dy}{dx}+P\left(x\right)y=Q\left(x\right)[/math][br]is said to be linear. Method to solve this differential equation is to first multiply both sides of the differential equation by its integrating factor, namely,[br][math]e^{\int P\left(x\right)dx}[/math]. Some of the answers use absolute values and sgn function because of the piecewise nature of the integrating factor.[br][br]For more on solving simple differential equations check my online book [br]"Flipped Classroom Calculus of Single Variable"[br]https://versal.com/learn/vh45au/