Hi @David Ayomide ,
After reviewing your comments and going through documentation listed at link below.
https://www.mathworks.com/help/symbolic/sym.laplace.html
Here is how you can resolve this problem, you need to ensure that the input provided to the laplace function is in the correct format. The error message indicates that a character vector or string was used instead of a symbolic expression. Here are the required changes listed below.
Define Variables Properly: Use syms to define all variables before using them in expressions.
Correctly Formulate the Expression: Ensure that the expression for which you want to compute the Laplace transform is correctly specified as a symbolic expression.
Here is how you can modify your code to eliminate the error and successfully compute the Laplace transform:
% Define symbolic variables syms y(t) t s
% Define the expression for which we want to find the Laplace transform expr = 4*diff(y(t), t) + y(t) - 3*2;
% Compute the Laplace transform F = laplace(expr, t, s);
% Display the result disp(F);
Please see attached.
![](/matlabcentral/answers/uploaded_files/1789635/IMG_8084.jpeg)
syms y(t) t s: This line defines `y` as a function of `t`, along with `t` and `s` as symbolic variables.
Expression Definition: The expression `4*diff(y(t), t) + y(t) - 3*2` is now properly formatted as a symbolic expression.
Laplace Transform Calculation: The function call `laplace(expr, t, s)` specifies both the independent variable (`t`) and the transformation variable (`s`).
When you will run this updated code snippet in MATLAB, it should execute without errors and display the result of the Laplace transform of your defined expression.
Here are some considerations that I would like to share.
Understanding Laplace Transforms: The Laplace transform is particularly useful in engineering fields, especially in control theory and signal processing, as it simplifies differential equations into algebraic equations.
Error Debugging: Familiarizing yourself with MATLAB's symbolic toolbox can help prevent similar issues. Always check that your variables are defined correctly and that you are using appropriate types for operations.
This approach will ensure accuracy in computation while also providing clarity on how to work with symbolic expressions in MATLAB effectively.
Hope this helps.