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

Chapter 2, Problem 2.1.172

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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.

\(y^{\prime \prime}+25 y=99 \cos 4.9 t, \quad y(0)=2, \quad y^{\prime}(0)=0\)

Text Transcription:

y-y_p

y’’+25y=99 cos 4.9t, y(0)=2, y’(0)=0

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