College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding: 3

Answer

y= C$e^{4x}$ y' = 4C$e^{4x}$ True

Work Step by Step

By taking the derivative of y, we have y=C$e^{4x}$ and its derivative y'=4C$e^{4x}$. By plugging these two equations into the differential equation results in: 4C$e^{4x}$=4$\times$C$e^{4x}$. Which is true, so y = C$e^{4x}$ is a solution.
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