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

Question

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

TuteeHUB · Accepted Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

e-x - (3e - 1) xe-x

TuteeHUB · Answer

e-x + (3e - 1) xe-x

1.	The solution of the second order differential equation \(\frac{d^2y}{dx^2}+2 \frac{dy}{dx} + y = 0\) with boundary conditions y(0) = 1 and y(1) = 3 is
A.	\(e^{-x} +[3esin(\frac{\pi x}{2})-1]xe^{-x}\)
B.	e-x - (3e - 1) xe-x
C.	e-x + (3e - 1) xe-x
D.	\(e^{-x} -[3esin(\frac{\pi x}{2})-1]xe^{-x}\)
Answer» D. \(e^{-x} -[3esin(\frac{\pi x}{2})-1]xe^{-x}\)

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