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I) II) Many damped physical systems found in engineering may have their behaviour expressed by second-order non-homogeneous ordinary differential equations (ODEs.) This type of

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I) II) Many damped physical systems found in engineering may have their behaviour expressed by second-order non-homogeneous ordinary differential equations (ODEs.) This type of problem involves obtaining the response of the associated homogeneous ODE and a particular solution of the non-homogeneous ODE. The sum of these two provide the general solution of the non-homogeneous ODE. Based on this information: what is the physical meaning of the solution of the associated homogeneous ODE. A 3 kg mass is attached to a linear spring of stiffness 7 N/m: Determine the natural frequency of the system in Hertz. b. Similarly, determine the natural frequency of another system that has a mass of 9 kg and a stiffness of 49 N/m. a. c. Compare your result to that of part a. What can you deduce from the values obtained for both (a) and (b)?

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