MATLAB Assignment 3 Determine numerically the inverse Laplace transform of the function $\frac{2}{(s+1)^3}$ and build a plot as a function of time.
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```matlab syms s t ``` Show more…
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Compute Laplace transform using the symbolic toolbox of MATLAB. If you want to compute the Laplace transform of a function, use the symbolic variables. For example, compute the Laplace transform of cos(3t + 45). The variable for the Laplace transform is denoted as Y. Calculate the Laplace transform of cos(3t + 45). Plot the graph with appropriate labels for the x-axis, y-axis, legend, and title.
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3.2 Inverse Laplace Transform: Use the symbolic tool in MATLAB to obtain the inverse Laplace transform for each of the following and plot the graph for both results F(s) and f(t). F(s) = s(s + T)73+5) / (3s + 2) F(s) = (s^2 + 2s + 10) / (352 - 6s + 6) F(s) = (s + 1)(s^2 + 10) / (82 + 3s + 10)(s + 5) F(s) = (s + 3)(s + 4)(s^2 + 28 100) / (82 + 3s + 10)(s + 5)
Find the Laplace transform of the following functions using MATLAB: a. 1/sqrt(pi*t) + a*e^(a^2*t)*erfc(a*sqrt(t)) b. e^(a^2*t)*(b/a)*erf(a*sqrt(t)) - 1 Hint: erf - Error function and erfc - Complementary error function
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