Solving Differential Equation by Laplace Transform My Solutions > Solve the following initial value problems using Laplace transform and plase your solution using the indicated format: 1. (D³ +2D² +D+2)y=5+4sin(t): y(0) = 3, y(0) = 1, y"(0) = 2 2. (D² +5D+6)y=5+3e³¹ : y(0) = 5, y(0) = 0 3. (D² +6D+4) y = 6e¹ +4t²: y(0) = 4, y (0) = 2 Required: 1. Use laplace transforms 2. Find the laplace transform of the entire equation and set it implicitly (eqn1, eq2,eqn3). 3. Plugin the initial conditions and save it as L_Eq1,L_Eq2, L_Eq3 4. Find the solution to the equation (ysoln1, ysoln2, ysoln3)
Solving Differential Equation by Laplace Transform My Solutions > Solve the following initial value problems using Laplace transform and plase your solution using the indicated format: 1. (D³ +2D² +D+2)y=5+4sin(t): y(0) = 3, y(0) = 1, y"(0) = 2 2. (D² +5D+6)y=5+3e³¹ : y(0) = 5, y(0) = 0 3. (D² +6D+4) y = 6e¹ +4t²: y(0) = 4, y (0) = 2 Required: 1. Use laplace transforms 2. Find the laplace transform of the entire equation and set it implicitly (eqn1, eq2,eqn3). 3. Plugin the initial conditions and save it as L_Eq1,L_Eq2, L_Eq3 4. Find the solution to the equation (ysoln1, ysoln2, ysoln3)
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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Transcribed Image Text:Script
1 syms y(t), t
2 Dy=diff(y);
3 D2y=diff(y, 2);
4 D3y=diff(y,3);
5
Save C Reset
MATLAB Documentation
Transcribed Image Text:Solving Differential Equation by Laplace Transform
My Solutions >
Solve the following initial value problems using Laplace transform and plase your solution using the
indicated format:
1. (D³+2D² +D+2)y=5+4sin(t): y(0) = 3, y(0) = 1, y"(0) = 2
2. (D² +5D+6)y=5+3e³t: y(0) = 5, y (0) = 0
3. (D² +6D+4)y = 6e¹ + 4t² : y(0) = 4, y'(0) = 2
Required:
1. Use laplace transforms
2. Find the laplace transform of the entire equation and set it implicitly (eqn1, eq2,eqn3).
3. Plugin the initial conditions and save it as L_Eq1,L_Eq2, L_Eq3
4. Find the solution to the equation (ysoln1, ysoln2, ysoln3)
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