The general solution of the differential equation {d^{2}y}/{dx^{2}} + 2\frac{dy}{dx}−5y = 0 in terms of arbitrary constants K1 and K2 is:

Correct Answer is : K1e(-1 + √6)x + K2e(-1 - √6)x

K 1 e (-1 + √6) x + K 2 e (-1 - √6) x

K 1 e (-1 + √8) x + K 2 e (-1 - √8) x

K 1 e (-2 + √6) x + K 2 e (-2 - √6) x

K 1 e (-2 + √8) x + K 2 e (-2 - √8) x

GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

Question : 12 of 65

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The general solution of the differential equation

\;{d^{2}y}/{dx^{2}} + 2\;{dy}/{dx}−5y = 0

in terms of arbitrary constants K1 and K2 is:

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