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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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We 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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First-Order Linear Differential Equations

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Chapter 16 / Lesson 3
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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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