In the differential equation \frac{dy}{dx} + \alpha \text{ x \text }" " 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 α is ________ (rounded off to three decimal places).

GATE Civil Engineering (CE) 2023 Shift 1 Solved Paper

Question : 30 of 65

Marks: +1, -0

In the differential equation

\;{dy}/{dx} + α \text" x\;\text "" "\;y = 0,α

is a positive constant. If y = 1.0 at x = 0.0, and y = 0.8 at x = 1.0, the value of α is ________ (rounded off to three decimal places).

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