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AP Calculus BC/Unit 7: Differential Equations
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Particular Solution to a Differential Equation
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If $$\displaystyle\frac{dy}{dx} = y^2$$ and $$y = \frac{1}{2}$$ when $$x = 0$$, then $$y =$$

A

$$\frac{1}{x-2}$$

B

$$\frac{1}{2+x}$$

C

$$\frac{1}{2-x}$$

D

$$\frac{2}{2-x}$$

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