Find the general solution to the homogeneous differential equation:

{eq}\frac{d^2y}{dt^2}+10\frac{dy}{dt}+24y=0 {/eq}

## Question:

Find the general solution to the homogeneous differential equation:

{eq}\frac{d^2y}{dt^2}+10\frac{dy}{dt}+24y=0 {/eq}

## Homogeneous Differential Equations:

Homogeneous differential equations have many applications in physics and engineering. For example, they can be used to model springs that are subject to some force.

## Answer and Explanation: 1

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View this answerIn the differential equation

{eq}\frac{d^2y}{dt^2}+10\frac{dy}{dt}+24y=0 {/eq}

the solutions are linear superpositions of solutions of the form

{e...

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Chapter 5 / Lesson 21Learning math includes low-level questions of recalling information, and high-level questions using analysis, creativity, and evaluation. See these three skills in higher-level math questions to see what makes high-quality questions, whether they are open-ended or not.