Numerical code must be done in matlab Please provide a brief explanation and a diagram showing the data And please have the questions answered

Coupled oscillators A mass on a spring forms an oscillator that has a preferred vibration frequency (resonance). Coupled oscillators change their resonant frequency in response to their neighbours. This system is a very important model in physics. You are to implement a solver that can simulate the motion of an arbitrary number of arbitrary (i.e. different mass and spring) coupled oscillators (preferably also allowing an infinite chain), with an excitation of arbitrary frequency. A central question to consider is how does the system behave with different numbers of oscillators? How well does your numerical solution match analytical solutions? You will probably need to implement Fourier analysis to fully answer this