Let y (x) be the solution of the differential equation {d^{2}y}/{dx^{2}}−4\frac{dy}{dx} + 4y = 0 with initial conditions y (0) = 0 and \frac{dy}{dx} |._{x = 0} = 1. Then the value of y (1) is________.

GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

Question : 40 of 65

Marks: +1, -0

Let

y (x)

be the solution of the differential equation

\;{d^{2}y}/{dx^{2}}−4\;{dy}/{dx} + 4y = 0

with initial conditions

y (0) = 0

and

\;{dy}/{dx} |._{x = 0} = 1

. Then the value of

y (1)

is________.

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