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].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please see the picture of the problem. I was instructed to make use of the command 'fplot' and that it should be symmetrical about the origin. Please put any solution in actual code, not handwritten. The last solution I obtained was handwritten and did not work. Thank you so much.

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].
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].
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