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.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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.
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