Remember that you studied several methods in class to break

Question

Consider the signal x(t) that has a Laplace transform of the form:

wherea₁, a₁ , β, and  γare real constants

Write a MATLAB FUNCTION called "values" that will take the values of  a₁, a₂ ,β, and  γ  and compute the constants  A, B, C, D, E, F, and G. The Matlab function will also take these computed values and plot the function  x(t) (meaning you will have to plot the obtained values in the inverse Laplace transform and plot the resulting function. You do not have to show the inverse Laplace transform but only compute the coefficients and time constants of different exponents and sinusoids and use these to plot the resulting x(t)).

Remember that you studied several methods in class to break a complicated rational function of  S  into simpler rational functions of S. You can use any of these methods or a combination of them here. Also note that Matlab is good in solving a set of equations so you are not limited to only one method.