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1. y,"+ 8y, + 16y, = 0, y,(0) = 1, y, (0) = 0

1. y,"+ 8y, + 16y, = 0, y,(0) = 1, y, (0) = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problems: Solve the following differential equations, using the initial conditions when applicable 1. y,"+ 8y, + 16y, = 0, y;(0) = 1, y, (0) = 0 2. y," – 3y, + 2y2 = 0, y2(1) = 1, y,(1) = 4 3. y3" + 8y, + 17y; = 0 4. у + 8y + 1буд 3D0 5. y – 729ys = ()
Transcribed Image Text:Problems: Solve the following differential equations, using the initial conditions when applicable 1. y,"+ 8y, + 16y, = 0, y;(0) = 1, y, (0) = 0 2. y," – 3y, + 2y2 = 0, y2(1) = 1, y,(1) = 4 3. y3" + 8y, + 17y; = 0 4. у + 8y + 1буд 3D0 5. y – 729ys = ()
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
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