Solve the following model of spring mass system for the given damping coefficients:u"+bu'+u = sin(mt), u(0)=2, u '(0) = 0(iii) b=3(i) b=0.5 (ii) b=2Discuss the damping and graph of the solution in each case.

Find the solutions, as terms are too lengthy to graph each.

Answered: Solve the following model of spring…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the following model of spring mass system for the given damping coefficients: u"+bu'+u = sin(mt), u(0)=2, u '(0) = 0 (iii) b=3 (i) b=0.5 (ii) b=2 Discuss the damping and graph of the solution in each case.