Question

#
$y = e^{2x}$

Explanation:

Step1: Recall antiderivative rule

The antiderivative of $e^{ax}$ is $\frac{1}{a}e^{ax}+C$ ($a
eq0$). Here $a = 2$.

Step2: Calculate antiderivative

$y=\int e^{2x}dx=\frac{1}{2}e^{2x}+C$.

Answer:

$y=\frac{1}{2}e^{2x}+C$