Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 6 - Differential Equations - 6.1 Exercises: 16

Answer

The function is a solution to the differential equation.

Work Step by Step

Begin by solving for the 4th derivative of y. $y=3sin(2x)$ $y'=6cos(2x)$ $y''=-12sin(2x)$ $y'''= -24cos(2x)$ $y^{(4)} = 48sin(2x)$ Now substitute back into the differential equation $48sin(2x) - 48sin(2x)=0$ $0=0$ Since both sides are equal, the function is a solution of the differential equation.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.