Let y= y(x) be the solution of the differential equation dy = e^αx+y dx; α ∈ N. If y(loge 2) = loge 2 and y(0) = loge (1/2),

Question

Let y= y(x) be the solution of the differential equation dy = e^αx+y dx;  α ∈ N. If y(log_e 2)= log_e 2 and y(0) = log_e \((\frac{1}{2})\), then the value of α is equal to____.

Answer 1

Correct option (2)

\(\Rightarrow\) \(\alpha\)= 2 (as ∈N)