First order linear equation with an integrating factor

What it solves

Solve a first order linear differential equation of the form y' + a y = b + c x with a starting value, by the integrating factor method: find the factor, integrate (by parts where needed), fit the starting value, and check the answer in the equation.

Subject

Differential Equations

Topic

First order equations

Also called

integrating factor, first order ODE, linear differential equation

Free example

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