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. f(t) = 1 2. f₂(t)= (3e2¹ + 6sin5t +21²)2 3. f3(t) = (2sin(2t) + 3cos(5t))³ sin(3t) 4. f4(t) = t 3 5. fs(t)=5 x ≤2 2≤x≤n % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. 0 Π Σ

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(-st),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(-zt),t,0,inf). Example: syms t f(t) f(t) = exp(2t)sin(4*t) F = laplace(f) Exercises: Find the laplace transform of the following functions: 1. f(t) = 1 2. f₂(t)= (3e2¹ + 6sin5t +21²)2 3. f3(t) = (2sin(2t) + 3cos(5t))³ sin(3t) 4. f4(t) = t 3 5. fs(t)=5 x ≤2 2≤x≤n % Defining the variables and function to be used % Expressing your function and identify it as a function with t as independent variable. 0 Π Σ

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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