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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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Solve the differential equation dydx=4∗x−2y\frac{dy}{dx}=\frac{4*x-2}{\sqrt{y}} with the initial condition y(1)=9y(1)=9. Express your answer for y explicitly as a function of x.

A

y=(3∗x2−3∗x+9)2/3y=\Bigl(3*x^2-3*x+9\Bigr)^{2/3}

B

y=(3∗x2−3∗x+27)2/3y=\Bigl(3*x^2-3*x+27\Bigr)^{2/3}

C

y=(3∗x2−3∗x+27)2/32y=\frac{\Bigl(3*x^2-3*x+27\Bigr)^{2/3}}{2}

D

y=(3∗x2−3∗x+272)2/3y=\Bigl(\frac{3*x^2-3*x+27}{2}\Bigr)^{2/3}

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