APFIVE Particular Solution to a Separable Differential Equation
Which of the following is the solution to the differential equation
$$ \frac{dy}{dx} = \frac{2y}{x + 2} $$
with the initial condition $$ y(-1) = 4 $$ for $$ x > -2 $$?
A
$$ y = 2x + 6 $$
B
$$ y = 4e^{2x + 4} $$
C
$$ y = 4(x + 2)^2 $$
D
$$ y = 4\ln(x + 2) + 4 $$
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