Laplace Operator laplace Laplace transform. L = laplace(F) is the Laplace transform of the sym F with default independent variable t. The default return is a function of s. If F = F(s), then laplace returns a function of z: L = L(z). By definition, L(s) = int(F(t)*exp(-s*t),t,0,inf). L = laplace(F,z) makes L a function of z instead of the default s: laplace(F,z) <=> L(z) = int(F(t)*exp(-z*t),t,0,inf). Example: syms t f(t) f(t) = exp(2*t)*sin(4*t) F = laplace(f) Exercises: Find the laplace transform of the following functions: 1. f₁(t) = 1 2. f₂(t) = (3e²¹ + 6sin51 +21²)2 3. f3(1) = (2sin (21) + 3cos(5t))³ sin(31) 4. f4(1)= t x≤2 -{ 5. f(t)=5 2≤x≤* 0 ASX Script % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. 1 %Find the Laplace transform of the given functions 2% Initialize for symbolic processing 3 syms 4 % Define the given functions 5 f1(t) = 6 f2(t) = 7 f3(t) = 8 f4(t) = 9 f5(t) = 10% Find the laplace transform of the given functions 11 F1(s) = 12 F2 (s) = 13 F3(s) = 14 F4(s) = 15 F5(s) = 16 %Hint Check for the code heaviside Save C Reset My Solutions > MATLAB Documentation Run Script ?
Laplace Operator laplace Laplace transform. L = laplace(F) is the Laplace transform of the sym F with default independent variable t. The default return is a function of s. If F = F(s), then laplace returns a function of z: L = L(z). By definition, L(s) = int(F(t)*exp(-s*t),t,0,inf). L = laplace(F,z) makes L a function of z instead of the default s: laplace(F,z) <=> L(z) = int(F(t)*exp(-z*t),t,0,inf). Example: syms t f(t) f(t) = exp(2*t)*sin(4*t) F = laplace(f) Exercises: Find the laplace transform of the following functions: 1. f₁(t) = 1 2. f₂(t) = (3e²¹ + 6sin51 +21²)2 3. f3(1) = (2sin (21) + 3cos(5t))³ sin(31) 4. f4(1)= t x≤2 -{ 5. f(t)=5 2≤x≤* 0 ASX Script % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. 1 %Find the Laplace transform of the given functions 2% Initialize for symbolic processing 3 syms 4 % Define the given functions 5 f1(t) = 6 f2(t) = 7 f3(t) = 8 f4(t) = 9 f5(t) = 10% Find the laplace transform of the given functions 11 F1(s) = 12 F2 (s) = 13 F3(s) = 14 F4(s) = 15 F5(s) = 16 %Hint Check for the code heaviside Save C Reset My Solutions > MATLAB Documentation Run Script ?
Computer Networking: A Top-Down Approach (7th Edition)
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i need the matlab code, thank youu
Transcribed Image Text:Laplace Operator
laplace Laplace transform.
L = laplace(F) is the Laplace transform of the sym F with default independent variable t. The default return is a function of s.
If F = F(s), then laplace returns a function of z: L=L(z).
By definition, L(s) = int(F(t)*exp(-s*t),t,0,inf).
L = laplace(F,z) makes L a function of z instead of the default s:
laplace(F,z) <=> L(z) = int(F(t)*exp(-z*t),t,0,inf).
Example:
syms t f(t)
f(t) = exp(2*t)*sin(4*t)
F = laplace(f)
Exercises:
Find the laplace transform of the following functions:
1. f₁(t) = 1
2. f₂(t) = (3e²t + 6sin51 +21²)2
3. f3(t) = (2sin (21) + 3cos(51))3
4. f4(1) = sin(31)
1
x≤2
5. f(t)=5 2≤x≤T
T≤X
% Defining the variables and function to be used
% Expressing your function and identify it as a function with t as independent variable.
Script
0
1 %Find the Laplace transform of the given functions
2% Initialize for symbolic processing
3 syms
4 % Define the given functions
5 f1(t) =
6 f2(t) =
7 f3(t) =
8 f4(t) =
9 f5 (t) =
10% Find the laplace transform of the given functions
11 F1(s) =
12 F2 (s) =
13 F3(s) =
14 F4(s) =
15 F5 (s) =
16
%Hint Check for the code heaviside
Save
C Reset
My Solutions >
MATLAB Documentation
▶ Run Script
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