How to find inverse Laplace Transforms using MATLAB ?
Last Updated :
21 Apr, 2021
In this article, we will see how to find Laplace Transform in MATLAB. Laplace Transform helps to simplify problems that involve Differential Equations into algebraic equations. Inverse Laplace Transform converts Laplace Domain Function F(s) into time-domain function f(t)
Using the above function one can generate a Time-domain function of any Laplace expression.
Example 1: Find the Inverse Laplace Transform of
Matlab
syms a t s
F = s/(a^2 + s^2);
f1=ilaplace(F,s,t);
disp(f1);
f=laplace(f1,t,s);
disp(f);
|
Output:
which is
Example 2: Find the Inverse Laplace Transform of 1/(s-a)
Matlab
syms a t s
F = 1/(s-a);
f1=ilaplace(F,s,t);
disp(f1);
f=laplace(f1,t,s);
disp(f);
|
Output:
which is
Example 3: Find the Inverse Laplace Transform of
Matlab
syms a t s
F = 2/(s+1)+3/(s+2)+1/s;
f1=ilaplace(F,s,t);
disp(f1);
f=laplace(f1,t,s);
disp(f);
|
Output:
which is
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