Elementary Differential Equations and Boundary Value Problems 9th Edition

Published by Wiley
ISBN 10: 0-47038-334-8
ISBN 13: 978-0-47038-334-6

Chapter 2 - First Order Differential Equations - 2.2 Separable Equations - Problems - Page 47: 2

Answer

$\frac{y^2}{2}-\frac{1}{3}log(x^3+1)+c=0$
1519107907

Work Step by Step

$\frac{dy}{dx}=\frac{x^2}{y(1+x^3)}$ Separate variables $y(1+x^3)dy=x^2dx$ $\int{ydy}=\int{\frac{x^2}{1+x^3}dx}$ $\frac{y^2}{2}-\frac{1}{3}log(x^3+1)+c=0$
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