Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 1 - First-Order Differential Equations - 1.3 The Geometry of First-Order Differential Equations - Problems: 5

Answer

$\frac{dy}{dx}=\frac{c}{2y}$

Work Step by Step

Take the derivative of the function in respect to $x$. Remember to use chain rule. $$2y\frac{dy}{dx}=c$$ Solving for the slope $\frac{dy}{dx}$ yields $$\frac{dy}{dx}=\frac{c}{2y}$$
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