Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 8 - Mathematical Modeling With Differential Equations - 8.1 Modeling With Differential Equations - Exercises Set 8.1 - Page 566: 1

Answer

Confirmed, See explanation.

Work Step by Step

To confirm $y = 3e^{x^3}$ is the solution, differentiate y first, $y = 3e^{x^3}$ $y' = 3e^{x^3}.3x^2$ $y' = 9x^2e^{x^3}$ Since $ y = 3e^{x^3}$, $y' = 3x^2y$ Where y(0) = 3 by inspection
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