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AP Calculus BC/Unit 7: Differential Equations
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Separable Differential Equation Initial Condition

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Which of the following is the solution to the differential equation dydx=yx−1 \frac{dy}{dx} = \frac{y}{x - 1} satisfying the initial condition y(2)=3 y(2) = 3 for x>1 x > 1 ?

A

y=3(x−1) y = 3(x - 1)

B

y=3ln⁡(x−1)+3 y = 3\ln(x - 1) + 3

C

y=3ex2−2x+1 y = 3e^{x^2 - 2x + 1}

D

y=x2−2x+10 y = \sqrt{x^2 - 2x + 10}

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