Solve the differential equation {eq}y''+3y=e^{3x} + \sin 2x {/eq}

## Question:

Solve the differential equation {eq}y''+3y=e^{3x} + \sin 2x {/eq}

## Differential Equations:

As the name suggests, a differential equation is an equation containing a function and its derivatives of different orders. There are various ways of solving a differential equation. The most basic method for an infinitely differentiable function is that we assume the function with some arbitrary constants and then find the constants by comparison.

## Answer and Explanation: 1

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View this answerWe can see that the given equation contains an exponential and sin function, so we can assume the function to be:

{eq}y = ae^{3x}+b\ sin 2x...

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Chapter 16 / Lesson 3Learn to define what a linear differential equation and a first-order linear equationÂ are. Learn how to solve the linear differential equation. See examples.