APFIVE Particular Solution to a Differential Equation
Which of the following is the particular solution to the differential equation $$\displaystyle\frac{dy}{dx} = \displaystyle\frac{1}{y}$$ with the initial condition $$y(0) = 3$$?
A
$$\displaystyle y = \sqrt{2x + 9}$$
B
$$\displaystyle y = \frac{x}{3} + 3$$
C
$$\displaystyle y = \sqrt{x + 9}$$
D
$$\displaystyle y = 3e^{\frac{x}{3}}$$
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