Differential Equations: JEE Main 2021 Mathematics question

Let y = y(x) be the solution of the differential equation dy = e^$\alpha$x + y dx; $\alpha$ $\in$ N. If y(log_e2) = log_e2 and y(0) = log_e$\left( {{1 \over 2}} \right)$, then the value of $\alpha$ is equal to _____________.