Question: Differential Equation and Linear Algebra 7. Find the general solution of forced mass-spring-damper system defined by the DE p + 2x' + 10x = cos(3:).

Differential Equation and Linear Algebra

7. Find the general solution of forced mass-spring-damper system defined by the DE p" + 2x' + 10x = cos(3:). Note the complimentary solution is r (t) = e (c cos(3t) + cy sin(3t)). (a) Compute the particular solution. (b) Compute the amplitude of the particular solution. (c) Extra credit: Using what you know about practical resonance, if the forcing was changed to cos(30t), would the amplitude of the particular solution be greater or less than the result in (b)

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