The solution of the second order differential equation {d^{2}y}/{dx^{2}} + 2\frac{dy}{dx} + y = 0 with boundary conditions y(0) = 1 and y(1) = 3 is

Correct Answer is : e-x + (3e - 1) xe-x

e^{−x} + [3esin(\frac{\pi x}{2})−1]xe^{−x}

e^{−x}−[3esin(\frac{\pi x}{2})−1]xe^{−x}

GATE Civil Engineering (CE) 2021 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

The solution of the second order differential equation

\;{d^{2}y}/{dx^{2}} + 2\;{dy}/{dx} + y = 0

with boundary conditions y(0) = 1 and y(1) = 3 is

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