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.1.) Modelling using second order differential equations a) Find the ODE that models of the motion...

.1.) Modelling using second order differential equations

a) Find the ODE that models of the motion of the dumped spring mass system with mass m=1, damping coefficient c=3, and spring constant k=25/4 under the influence of an external force F(t) = cos (2t).

b) Find the solution of the initial value problem with x(0)=6, x'(0)=0.

c) Sketch the graph of the long term displacement of the mass m.

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