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Q. 1

Expert-verifiedFound in: Page 499

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

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).

$\frac{dy}{dx}=\frac{-x}{y}$

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

$\frac{dy}{dx}=\frac{-x}{y}$

$ydy=-xdx$

$\int ydy=-\int xdx$

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

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

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