%Step 1: Initialize the variables: syms y(t), t Dy= D2y= cond1= 5 cond2= %Step 2: Identify the LHS and RHS of the equation, find the laplace of the given functions B1= L= 1 R= ton 3 Equate the laplace transforms of the LHS and RHS. Plugin the initial conditions:

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
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Exercises:
Solve the Initial Value problem (D² +4D+3)y=1+2: y(0)=2,y (0) = 1, using laplace transforms
Script
1 %Step 1: Initialize the variables:
2 syms y(t), t
3 Dy=
AD2y=
5 cond1=
6 cond2=
7%Step 2: Identify the LHS and RHS of the equation, find the laplace of the given.
1 =
8
unctions.
9 r
10 L =
11 R =
12 %Step 3: Equate the laplace transforms of the LHS and RHS. Plugin the initial conditions:
13 eqn1 =
14 eqn1 =
15 eqn1 =
16 %Step 4: solve for Y(s) in the resulting equation
17 eqn1 =
18 %Solve the resulting equation:
19 ysoln =
20
Transcribed Image Text:Exercises: Solve the Initial Value problem (D² +4D+3)y=1+2: y(0)=2,y (0) = 1, using laplace transforms Script 1 %Step 1: Initialize the variables: 2 syms y(t), t 3 Dy= AD2y= 5 cond1= 6 cond2= 7%Step 2: Identify the LHS and RHS of the equation, find the laplace of the given. 1 = 8 unctions. 9 r 10 L = 11 R = 12 %Step 3: Equate the laplace transforms of the LHS and RHS. Plugin the initial conditions: 13 eqn1 = 14 eqn1 = 15 eqn1 = 16 %Step 4: solve for Y(s) in the resulting equation 17 eqn1 = 18 %Solve the resulting equation: 19 ysoln = 20
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