Solve differential equation:

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

Question:

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:

Become a Study.com member to unlock this answer!

View this answer

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,...

See full answer below.


Learn more about this topic:

Loading...
First-Order Linear Differential Equations

from

Chapter 16 / Lesson 3
2.7K

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.


Related to this Question

Explore our homework questions and answers library