Determine and classify equilibrium solutions. Sketch the graph of several solutions. dy = y² -9 dx -1. d'y dx² Interval Testing # that Sign of dy / dx Sign of d²y/dx²dents Conclusionen infects

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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Determine and classify equilibrium solutions. Sketch the graph of several solutions.
Sol.
dy
dx
= y² -9
d² y
dx²
Interval Testing #
ying a thevin
Sign of dy / dx
Graph and classification of equilibrium solutions
Sign of d²y/dx²dents Conclusion
ted: 100
Transcribed Image Text:Determine and classify equilibrium solutions. Sketch the graph of several solutions. Sol. dy dx = y² -9 d² y dx² Interval Testing # ying a thevin Sign of dy / dx Graph and classification of equilibrium solutions Sign of d²y/dx²dents Conclusion ted: 100
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We will find equilibrium solution by using  y'=0 and then identify type of equilibrium using sign of y''

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