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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)
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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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: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
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
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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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: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%)
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 == Save C Reset MATLAB Documentation
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 == Save C Reset MATLAB Documentation
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