Consider the following wave equation, {\partial^{2}f(x,t)}/{\partialt^{2}} = 10000 {\partial^{2}f(x,t)}/{\partialx^{2}} Which of the given options is/are solution(s) to the given wave equation?

f(x, t)=e^{-(x-100 t)^2}+e^{-(x+100 t)^2}

f(x, t)=e^{-(x-100 t)}+0.5 e^{-(x+1000 t)}

f(x, t)=e^{-(x-100 t)}+ \sin (x+100 t)

f(x, t)=e^{j 100 \pi(-100 x+t)}+e^{j 100 \pi(100 x+t)}

GATE Electronics and Communications (EC) 2022 Solved Paper

Question : 34 of 65

Marks: +1, -0

Consider the following wave equation,

\;{∂^{2}f(x,t)}/{∂t^{2}} = 10000\;{∂^{2}f(x,t)}/{∂x^{2}}

Which of the given options is/are solution(s) to the given wave equation?

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