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%Solve the given Homogeneous Differential Equations with Constant Coefficients %Initialize the Variables %Solve the equation y"+8y'+16y=, y(@)=1, y'(@)=0. Save your answer as y1;

%Solve the given Homogeneous Differential Equations with Constant Coefficients %Initialize the Variables %Solve the equation y"+8y'+16y=, y(@)=1, y'(@)=0. Save your answer as y1;

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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1 %Solve the given Homogeneous Differential Equations with Constant Coefficients 2 %Initialize the Variables 4 5 %5olve the equation y"+8y'+16y=0, y(0)=1, y' (e)=0. Save your answer as y1; 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 > Run Script
Transcribed Image Text:1 %Solve the given Homogeneous Differential Equations with Constant Coefficients 2 %Initialize the Variables 4 5 %5olve the equation y"+8y'+16y=0, y(0)=1, y' (e)=0. Save your answer as y1; 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 > Run Script
My Solutions > Homogeneous Differential Equation with Constant Coefficients 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==e) yGS2 = dsolve(D2y+2*Dy+y==0, y(e)==1, y(0)==2) Problems: Solve the following differential equations, using the initial conditions when applicable 1. у"+ 8y, + 16у %3D0, y (0) %3D1, у, (0) %3D 0 2. y2" – 3y, + 2y2 = 0, y2(1) = 1, y,(1) = 4 3. y3"+ 8y, + 17y3 = 0 4. y + 8y! + 16y4 = 0 5. у — 729y, %3D0
Transcribed Image Text:My Solutions > Homogeneous Differential Equation with Constant Coefficients 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==e) yGS2 = dsolve(D2y+2*Dy+y==0, y(e)==1, y(0)==2) Problems: Solve the following differential equations, using the initial conditions when applicable 1. у"+ 8y, + 16у %3D0, y (0) %3D1, у, (0) %3D 0 2. y2" – 3y, + 2y2 = 0, y2(1) = 1, y,(1) = 4 3. y3"+ 8y, + 17y3 = 0 4. y + 8y! + 16y4 = 0 5. у — 729y, %3D0
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