Programming Language : MATLAB

Laplace Transforms C(f) To obtain the Laplace transform of a function in Matlab, first define t as a symbolic variable, then ask for the transform of a functions of t. For example in the Matlab command window enter - type only the text after the prompt to produce the Laplace transform for f(t) = t2 >syms t k >> laplace(t 2) (a) Find L(f) for the following functions f(t) - write your answers in the space provided (don't forget to use an explicit multiplication symbol when in Matlab, *) if(t) = sin(t), ii. f(t) = sin(kt), iii. f (t)-cos(kt), iv. f(t) = ekt v. f(t) =? c(f(t)) = c(f(t)) = c(f(t)) = (b) To recover the original functions, you can perform the inverse Laplace transform using >> Syms S >> finv = ilaplace(1/s) Use this command to find the inverse Laplace of F(s) the answer we found in class for this problem. Write Matlab's solution below: 82+4) and compare it to =