APFIVE Particular Solution to a Differential Equation
What is the particular solution to the differential equation $\displaystyle \frac{dy}{dx} = xy^2$ satisfying the initial condition $y(2) = 1$?
A
$$\displaystyle y = \frac{2}{6 - x^2}$$
B
$$\displaystyle y = e^{\frac{x^2}{2} - 2}$$
C
$$\displaystyle y = \frac{6 - x^2}{2}$$
D
$$\displaystyle y = e^{\frac{x^2}{2}}$$
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