The green graph below shows the graph of the solution to 1 24" + by' + cy = 0 y(0) = 0, y'(0) 1 for some particular values of b, c that have b2 4ac > 0. Adjusting the sliders for b and c will show you different solutions to this equation in red. Use them to align the red and green graphs so that the red graph overlays the green one. Note that a red graph may not appears for some combinations of b and c. The point of this exercise is not to solve rigorously, but to understand how changing the values of b and c affects the behavior of the system
The green graph below shows the graph of the solution to 1 24" + by' + cy = 0 y(0) = 0, y'(0) 1 for some particular values of b, c that have b2 4ac > 0. Adjusting the sliders for b and c will show you different solutions to this equation in red. Use them to align the red and green graphs so that the red graph overlays the green one. Note that a red graph may not appears for some combinations of b and c. The point of this exercise is not to solve rigorously, but to understand how changing the values of b and c affects the behavior of the system
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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Transcribed Image Text:The green graph below shows the graph of the solution to
1
5y"+ by' + cy = 0
y(0) = 0, y'(0) = 1
for some particular values of b, c that have b2 – 4ac > 0.
-
Adjusting the sliders for b and c will show you different solutions to this equation in red. Use them to align
the red and green graphs so that the red graph overlays the green one. Note that a red graph may not
appears for some combinations of b and c.
The point of this exercise is not to solve rigorously, but to understand how changing the values of b and c
affects the behavior of the system
4
c = 8
- o + + Į ↑ →
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