GATE 2013 Chemical Engineering Q27: Solution to d²y/dx² - dy/dx + 0.25y = 0 (Differential Equation)

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Chemical Engineering > GATE 2013 > Ordinary Differential Equations

The solution of the differential equation d²y/dx²-dy/dx+0.25y=0 , given y=0 at x=0 and dy/dx=1 at x=0 is

A

xe^0.5x-xe^-0.5x

B

0.5xe^x-0.5xe^-x

C

xe^0.5x

D

-xe^0.5x

Correct : c

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