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