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MAT2002 Lecture Notes - Lecture 80: Tg2, 4Dx

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Vellore Institute of Technology - VIT
Department
Mathematics
Course
MAT2002
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Document Summary

Course name : applications of differential and difference equations. Form the differential equation for the external force system and then find the displacement y using variation of parameters. sinx f x. 1m unit is attached to a spring whose constant is. If the external force the system and then find the displacement y using variation of parameters. x e f x. 2m unit is attached to a spring whose constant is. The medium is offered the damping force of. Form the differential equation for the system and then find the displacement y using variation of parameters. f x cos e x x. Solve the differential equation (4 - 5) x. Solve the differential equation (5 - 4) x. Solve the differential equation (3 - 2) x. 2 y y y (4 - 5) " y x (5 - 4) " y x y. 0. y y (3 - 2) " y x.

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Related Questions

Trying to solve this Differential equations problem:
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to f(t) = sin(4t) is applied to the system. The surrounding medium offers a damping force numerically equal to 8 times the instantaneous velocity. The equation of motion satisfies the initial-value problem

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A mass weighing 4pounds is attached to a spring whose constant is 2 lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Determine the time at which the mass passes through the equilibrium position. Find the time at which the mass attains its extreme displacement from the equi- librium position. What is the position of the mass at this instant?