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 - Page 403: 31

Answer

$4y^2= x^3$ passes through the point (4,4)

Work Step by Step

Use the general solution of the differential equation and plug in (4,4). $y^2= Cx^3$ $16= 64C$ $C=\frac{1}{4}$ Substitute C back into the general solution $ y^2= \frac{1}{4}x^3$ $4y^2= x^3$
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