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Consider the undamped forced harmonic oscillator with mass 1 kg, damping coefficient 0, spring constant 4,...

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Advance Math

  1. Consider the undamped forced harmonic oscillator with mass 1kg, damping coefficient 0, spring constant 4, and external forceh(t) = 3cos(t). The mass is initially atrest in the equilibrium position. You must understand that you canmodel this as: y’’ = -4y +3cost;y(0) = 0; y’(0) = 0.
    1. (5pts) Using the method of Laplace transforms, solve thisinitial value problem.
    2. Check your solution solves the IVP.
      1. (4pts) Be sure to check that your solution satisfies both thedifferential equation and
      2. (1pt) the two initial conditions.

Answer & Explanation Solved by verified expert
3.6 Ratings (432 Votes)
mass is kgthere is no damping so damping constant is spring constant is    See Answer
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