Solve differential equation:

{eq}y' + y = \sin(x) {/eq}


Solve differential equation:

{eq}y' + y = \sin(x) {/eq}

Integrating Factor

The integrating factor is applied to a first order linear differential equation so the equation becomes easier to integrate. For a function in the form {eq}y' + p(x)y = q(x) {/eq}, the integrating factor is given by {eq}I = e^{\int p(x)\,dx} {/eq}.

Answer and Explanation:

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The given differential equation has the following form.

$$\begin{align} y' + p(x)y &= q(x) \\ y' + y &= \sin(x) \\ \text{where } p(x) &= 1,...

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Learn more about this topic:

First-Order Linear Differential Equations


Chapter 16 / Lesson 3

Learn to define what a linear differential equation and a first-order linear equation are. Learn how to solve the linear differential equation. See examples.

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