Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 6 - Analyzing Accumulated Change: Integrals in Action - 6.7 Activities - Page 494: 1


We can solve this problem using only antiderivatives. $y= x^{2}+C$ is the solution of the given differential equation.

Work Step by Step

Given: $\frac{dy}{dx}=2x$ Integrating on both sides, we get $\int \frac{dy}{dx}=\int 2x$ $⇒y=2\times\frac{x^{2}}{2}+C$ That is, $y= x^{2}+C$.
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