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Algebra of Derivatives

Solve the fol...

Question

Solve the following differential equation.
$\frac{d y}{d x} = \frac{- 1}{x^{2}}$

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Solution

$\frac{d y}{d x} = \frac{- 1}{x^{2}}$ .
Integrating on both sides
$\int d y = \int \frac{- 1}{x^{2}} d x y = \frac{1}{x} + c$

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