Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 9 - Differential Equations - Review - Concept Check - Page 674: 6

Answer

See below

Work Step by Step

A first order linear differential equation is a diff. equation such that $$P(x)*y + dy/dx = Q(x)$$ where $P$ and $Q$ are continuous functions on the interval. To solve this equation, we multiply both sides by integrating factor $I(x) = e^{\int P(x) dx}$ to put it in the form... $(I(x)y)' = I(x)*Q(x)$. This is solved by integration.
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