GATE Civil 2023 Set 1 | Question: 20

Question

In the differential equation $\frac{d y}{d x}+\alpha x y=0, \alpha$ is a positive constant. If $y=1.0$ at $x=0.0$, and $y=0.8$ at $x=1.0$, the value of $\alpha$ is____________ (rounded off to three decimal places).