Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 9: First-Order Differential Equations - Questions to Guide Your Review - Page 557: 1

Answer

See answer below.

Work Step by Step

a) A first-order differential equation can be written as: $f(x,y)=\dfrac{dy}{dx}$ where, $f(x,y)$ represents a function of two variables and is defined on a region in the XY-plane. b) A solution is a function $y=f(x)$ that satisfies the first-order differential equation $f(x,y)=\dfrac{dy}{dx}$ when the function $f(x)$ and its first-order derivative are plugged into the equation.
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