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Problem 2: Use the MATLAB dsolve() function to solve the differential equation y" - y - 12y = 500 cos (10t). Plot the family of solutions on a single plot for C₁ = C₂ = 0 as a solid curve, C₁ = 0.1, C₂ = 0 as a dotted curve, and C₁ = C₂ = 0.1 as a dashed curve. Make sure to label both axes, title your figure, and turn on the plotting legend. Set the y-axis limits to [-10 50]. % [Insert your MATLAB code and plot here.] Problem 3: For the differential equation solved in Problem 2, will any specific values of C₁ and C₂ cause the solution to converge to zero as t → ∞o? Yes or no? Explain.

Problem 2: Use the MATLAB dsolve() function to solve the differential equation y" - y - 12y = 500 cos (10t). Plot the family of solutions on a single plot for C₁ = C₂ = 0 as a solid curve, C₁ = 0.1, C₂ = 0 as a dotted curve, and C₁ = C₂ = 0.1 as a dashed curve. Make sure to label both axes, title your figure, and turn on the plotting legend. Set the y-axis limits to [-10 50]. % [Insert your MATLAB code and plot here.] Problem 3: For the differential equation solved in Problem 2, will any specific values of C₁ and C₂ cause the solution to converge to zero as t → ∞o? Yes or no? Explain.

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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= Problem 2: Use the MATLAB dsolve() function to solve the differential equation y" - y - 12y = 500 cos (10t). Plot the family of solutions on a single plot for C₁ = C₂ = 0 as a solid curve, C₁ = 0.1, C₂ = 0 as a dotted curve, and C₁ C₂ = 0.1 as a dashed curve. Make sure to label both axes, title your figure, and turn on the plotting legend. Set the y-axis limits to [-10 50]. % [Insert your MATLAB code and plot here.] Problem 3: For the differential equation solved in Problem 2, will any specific values of C₁ and C₂ cause the solution to converge to zero as t → ∞? Yes or no? Explain.
Transcribed Image Text:= Problem 2: Use the MATLAB dsolve() function to solve the differential equation y" - y - 12y = 500 cos (10t). Plot the family of solutions on a single plot for C₁ = C₂ = 0 as a solid curve, C₁ = 0.1, C₂ = 0 as a dotted curve, and C₁ C₂ = 0.1 as a dashed curve. Make sure to label both axes, title your figure, and turn on the plotting legend. Set the y-axis limits to [-10 50]. % [Insert your MATLAB code and plot here.] Problem 3: For the differential equation solved in Problem 2, will any specific values of C₁ and C₂ cause the solution to converge to zero as t → ∞? Yes or no? Explain.
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