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Q. 1

Expert-verified

Calculus

Found in: Page 499

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

find an equation that gives y as an implicit function of x. Then draw the continuous curve that satisfies this differential equation and passes through the point (2, 0).
$\frac{d y}{d x} = \frac{- x}{y}$

$y^{2} = - x^{2}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

$\frac{d y}{d x} = \frac{- x}{y}$

Step 2. Rearrange and integrate

$y d y = - x d x$

$\int y d y = - \int x d x$

$\frac{y^{2}}{2} = - \frac{x^{2}}{2}$

$y^{2} = - x^{2}$

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a

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