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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 La 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. fi(t) = 1 2. f(t) = (3e2¹ +6sin51 +21²)2 3. f3(t) = (2sin(2t) + 3cos(51))3 sin(31) 4. f4(t) = t 3 % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. x≤2 5. fs(t)=5 2≤x≤r R≤X 0

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 La 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. fi(t) = 1 2. f(t) = (3e2¹ +6sin51 +21²)2 3. f3(t) = (2sin(2t) + 3cos(51))3 sin(31) 4. f4(t) = t 3 % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. x≤2 5. fs(t)=5 2≤x≤r R≤X 0

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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) = %Hint: Check for the code heaviside 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 = ▶ Run Script 2.
Transcribed Image Text: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) = %Hint: Check for the code heaviside 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 = ▶ Run Script 2.
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) % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. Exercises: Find the laplace transform of the following functions: 1. fi(t) = 1 2. f₂(t) = (3e2¹ +6sin5t +21²)² 3. f3(t) = (2sin(2t) + 3cos(5t))³ 4. f4(t) = sin(31) t 3 x≤2 5. fs(t) = 5 2 ≤x≤n 0 π < x
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) % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. Exercises: Find the laplace transform of the following functions: 1. fi(t) = 1 2. f₂(t) = (3e2¹ +6sin5t +21²)² 3. f3(t) = (2sin(2t) + 3cos(5t))³ 4. f4(t) = sin(31) t 3 x≤2 5. fs(t) = 5 2 ≤x≤n 0 π < x
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