A mass-spring motion is governed by the ordinary differential equationd²x dx+b + k(t)x= F(t),dt² dtmwhere m is the mass, b is the damping constant, k is the spring constant, and F(t)is the external force. We consider the initial conditions x(0) = 1 and x/(0) = 0.Assume the following numerical values for this part of the project: m = 1, k = 1/5,b= 1/5, and F(t) = cos yt.1(a) Read section 4.10. Explain what is the resonance frequency, and then computethe resonance frequency for this mass-spring system.(b) The ODE45-solver can be used to obtain the solution curves in MATLAB. Usethe script Project2_Q2.m to plot the solutions and estimate the amplitudeA of the steady response for y = 0.2, 0.42, 0.6, and 0.8.(c) The script also provide you with the graph of A versus y. For what frequency7 is the amplitude the greatest? Is it equal to that you obtained in (a)?

The objective of the question is to understand the concept of resonance frequency in a mass-spring…

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