Answer
First order, $\frac{dy}{dx} = c$
Work Step by Step
Substitute $y = c(1 + x)$ into $(1+x) \frac{dy}{dx} = y$
$(1+x) \frac{dy}{dx} = c(1 + x)$
$\frac{dy}{dx} = \frac{c(1 +x)}{1 + x}$
Simplify
$\frac{dy}{dx} = c$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 8 - Mathematical Modeling With Differential Equations - 8.1 Modeling With Differential Equations - Exercises Set 8.1 - Page 566: 3
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