APFIVE Solving a Separable Differential Equation
Which of the following is the solution to the differential equation $$\displaystyle \frac{dy}{dx} = 5y^2$$ with the initial condition $$y(0) = 3$$?
A
$$y = \displaystyle \frac{3}{1-15x}$$
B
$$y = \sqrt{9e^{5x}}$$
C
$$y = \sqrt{e^{5x} + 9}$$
D
$$y = \sqrt{\displaystyle \frac{1}{9}e^{5x}}$$
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