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GATE EC 2018 Set 1 — Question 60

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NAT+2 / -0MediumHigher-Order Linear ODEsDifferential EquationsEngineering MathematicsInitial & Boundary Value Problems

Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs

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Question

The position of a particle y(t)y(t) is described by the differential equation:d2ydt2=−dydt−5y4.\frac{d^2y}{dt^2} = -\frac{dy}{dt} - \frac{5y}{4}.The initial conditions are y(0)=1y(0) = 1 and dydt∣t=0=0\frac{dy}{dt} \big|_{t=0} = 0. The position (accurate to two decimal places) of the particle at t=πt = \pi is _______.
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