Problems: Solve the following differential equations, using the initial conditions when applicable 1. yı" + 8y + 16y₁ = 0, y₁ (0) = 1, y, (0) = 0 2. y2"-3y₂ + 2y2 = 0, y2(1) = 1, y₂(1) = 4 3. y3" + 8y + 17y3 = 0 4. y + 8y + 16y₁ = 0 5. y-729ys=0
Problems: Solve the following differential equations, using the initial conditions when applicable 1. yı" + 8y + 16y₁ = 0, y₁ (0) = 1, y, (0) = 0 2. y2"-3y₂ + 2y2 = 0, y2(1) = 1, y₂(1) = 4 3. y3" + 8y + 17y3 = 0 4. y + 8y + 16y₁ = 0 5. y-729ys=0
Computer Networking: A Top-Down Approach (7th Edition)
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Transcribed Image Text:1 %Solve the given Homogeneous Differential Equations with Constant Coefficients
2 %Initialize the Variables
3
4
5 %Solve the equation y"+8y' +16y=0, y(0)=1, y'(0)=0. Save your answer as y1;
6
7 %Solve the equation y"-3y' +2y=0, y_2(1)=1, y_2' (1)=4. Save your answer as y2;
8
9 %Solve the equation y"+8y' +17y=0. Save your answer as y3;
10
11 %Solve the equation y^{IV} + 8y" + 16y-0. Save your answer as y4;
12
13 %Solve the equation y^{VI}-729y-0. Save your answer as y1;
14
15
16
Transcribed Image Text:MATLAB can solve differential equations using the dsolve command.
dsolve symbolic solution of ordinary differential equations.
Example:
syms y(x)
Dy(x)= diff(y)
D2y(x) = diff(y,2)
YGS1 = dsolve (D2y+2*Dy+y==0)
YGS2 = dsolve (D2y+2*Dy+y==0, y(0)=-1, y(0)==2)
Problems: Solve the following differential equations, using the initial conditions when applicable
1. yı" + 8y₁ + 16y₁ = 0, y₁ (0) = 1, y₁ (0) = 0
2. y2" - 3y₂ + 2y2 = 0, y2(1) = 1, y₂(1) = 4
3. y3" + 8y₂ + 17y3 = 0
4. y + 8y +16y₁ = 0
5. yy-729y5 = 0
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could you please correct this one using matlab. thank u!
![Y1
Variable y1 has an incorrect value.
Feedback hidden for errors below, as these errors may be due to the initial error. Hide Feedback
Y2
Variable y2 must be of size [11]. It is currently of size [0 0]. Check where the variable is assigned a value.
Y3
Y4
Y5
X Derivatives
The submission must contain a variable named Dy.
> Derivative
The submission must contain a variable named D2y.
✔ Initialization
✔ Function Use
✔ Function Use
0% (10%)
0% (10%)
10% (10%)
10% (10%)
10% (10%)
0% (10%)
0% (10%)
10% (10%)
10% (10%)
10% (10%)](https://content.bartleby.com/qna-images/question/8270e304-e809-4c22-b55d-93ae9c78585a/d80158bb-5bcf-4b89-a43b-d96fe8b5500c/5w54s7r_processed.png)
Transcribed Image Text:Y1
Variable y1 has an incorrect value.
Feedback hidden for errors below, as these errors may be due to the initial error. Hide Feedback
Y2
Variable y2 must be of size [11]. It is currently of size [0 0]. Check where the variable is assigned a value.
Y3
Y4
Y5
X Derivatives
The submission must contain a variable named Dy.
> Derivative
The submission must contain a variable named D2y.
✔ Initialization
✔ Function Use
✔ Function Use
0% (10%)
0% (10%)
10% (10%)
10% (10%)
10% (10%)
0% (10%)
0% (10%)
10% (10%)
10% (10%)
10% (10%)
Transcribed Image Text:Script
1 %Solve the given Homogeneous Differential Equations with Constant Coefficients
2 %Initialize the Variables
3
4 % Variables initialization
5 syms y1(x)
6 syms y2(x)
7 syms y3(x)
8 syms y4(x)
9
syms y5(x)
10
11 %Solve the equation y"+8y'+16y=0, y(0)=1, y'(0)=0. Save your answer as y1;
12 % solve the equation y'' +8y'+16y=0, y(0)=1, y'(0)=0. save as y1;
13 y1 = dsolve (diff(y1,2) + 8*diff(y1) + 16*y1 == 0, y¹(0)=-1, diff(y1(0))==0
14
15 %Solve the equation y"-3y'+2y=0, y_2(1)=1, y_2'(1)=4. Save your answer as y2;
16 % solve the equation y'' - 3y'+ 2y=0, y2(1)=1, y2'(1)=4. save as y2;
17 y2 = dsolve(diff(y2,2) - 3*diff(y2) + 2*y2 == 0, y2(1)==1, diff(y2(1))==4)
18
19 %Solve the equation y"+8y' +17y=0. Save your answer as y3;
20 % solve the equation y'' +8y'+17y=0, save as y3;
21 y3 = dsolve (diff(y3,2) + 8*diff(y3) + 17*y3 == 0)
22
23 %Solve the equation y^{IV} + 8y" + 16y=0. Save your answer as y4;
24 % solve the equation y^{IV} +8y''+16y=0, save as y4;
25 y4 = dsolve(diff(y4,4) + 8*diff(y4,2) + 16*y4 == 0)
26
27 %Solve the equation y^{VI}-729y=0. Save your answer as y1;
28 % solve the equation y^{VI} - 729y=0, save as y5;
29 y5= dsolve(diff(y5,6) - 729*y5
0)
30
==
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C Reset
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