A mass of 4kg stretches spring 40 cm. The mass ls acted on by an external force of 180e-2t+196N and moves in a medium that imparts a viscous force of 34N when the speed of the mass is 1/3 m/sec. Mass Is set in motion from equilibrium position with an initial velocity of 1 m/sec: A) Formulate an initial value problem (IVP) B) Solve the IVP C) Identify end behavior of the entire solution.

A mass of 4kg stretches spring 40 cm. The mass ls acted on by an external force of 180e-2t+196N and moves in a medium that imparts a viscous force of 34N when the speed of the mass is 1/3 m/sec. Mass Is set in motion from equilibrium position with an initial velocity of 1 m/sec: A) Formulate an initial value problem (IVP) B) Solve the IVP C) Identify end behavior of the entire solution.

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Question

A mass of 4kg stretches spring 40 cm. The mass ls acted on by an external force of 180e^-2t+196N

and moves in a medium that imparts a viscous force of 34N when the speed of the mass is 1/3 m/sec. Mass Is set in motion from equilibrium position with an initial velocity of 1 m/sec: