PROBLEM $2$

Solve the following differential equation:

$\frac{df(x)}{dx}=\frac{1}{2}f(x)5$

$5c_1{e}^{2x}$

$15c_1{e}^{2x}$

$5C_1{e}^2$

$-10c_1{e}^2$

None of the above.