Find the motion of the mass-spring system modeled by the ODE and initial conditions

Chapter 2, Problem 2.1.167

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Find the motion of the mass-spring system modeled by the ODE and initial conditions. Sketch or graph the sol urian curve. In addition, sketch or graph the curve of \(y-y_{p}\) to see when the system practically reaches the steady state.

\(y^{\prime \prime}+2 v^{\prime}+26 y=13 \cos 3 t, y(0)=1, \quad y^{\prime}(0)=0.4\)

Text Transcription:

y-y_p

y’’+2y’+26y=13 cos 3t, y(0)=1, y’(0)=0.4

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