The position of a particle (𝑡) is described by the differential equation: {d^{2}y}/{dt^{2}} = −\frac{dy}{dt}−\frac{5y}{4} The initial conditions are y(0) = 1 and \frac{dy}{dt} |._{t = 0} = 0. The position (accurate to two decimal places) of the particle at t = π is _______.

Correct Answer is : -0.23--0.19

GATE Electronics and Communications (EC) 2018 Solved Paper

Question : 60 of 65

Marks: +1, -0

The position of a particle (𝑡) is described by the differential equation:

\;{d^{2}y}/{dt^{2}} = −\;{dy}/{dt}−\;{5y}/{4}

The initial conditions are y(0) = 1 and

\;{dy}/{dt} |._{t = 0} = 0

. The position (accurate to two decimal places) of the particle at t = π is _______.

Go to Question:

Prev Question

Next Question