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

Chapter 2, Problem 2.1.169

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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.

\(y^{\prime \prime}+6 y^{\prime}+8 y=4 \sin 2 t, \quad y(0)=0.7, y^{\prime}(0)=-11.8\)

Text Transcription:

y-y_p

y’’+6y+8y=4 sin 2t, y(0)=0.7, y’(0)=-11.8

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