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)

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter3: Introduction To Linear Programming
Section: Chapter Questions
Problem 59RP
icon
Related questions
Question

answer using matlab code. thank you 

please type it 

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)
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)
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: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Rod cutting
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
Computer Science
ISBN:
9780534380588
Author:
Wayne L. Winston
Publisher:
Brooks Cole