The green graph below shows the graph of the solution to y" +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 b=7 c = 5.5 - 0 + ↓ ↑ →

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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Adjusting the sliders for bb and cc 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 bb and cc. The point of this exercise is not to solve rigorously, but to understand how changing the values of bb and cc affects the behavior of the system –o+←↓↑→ bb cc b=7b=7 c=5.5c=5.5
The green graph below shows the graph of the solution to
y" + 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
b=7
c = 5.5
- 0 +↓↑ →
Transcribed Image Text:The green graph below shows the graph of the solution to y" + 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 b=7 c = 5.5 - 0 +↓↑ →
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