U(x) = 3x2 – Let be a potential energy in one dimension. Find and classify the equilibria of the system. If one equlibrium is stable and the other unstable, enter the stable equilibrium first. If both equilibria have the same stability, enter them in either order. x = O Stable O Unstable x = O Stable O Unstable SP

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let U(x) = 3x²_
423
- be a potential energy in one dimension. Find and classify the equilibria of the system.
3
If one equlibrium is stable and the other unstable, enter the stable equilibrium first. If both equilibria have the same stability, enter them in either order.
x
O Stable O Unstable
x =
O Stable O Unstable
Transcribed Image Text:Let U(x) = 3x²_ 423 - be a potential energy in one dimension. Find and classify the equilibria of the system. 3 If one equlibrium is stable and the other unstable, enter the stable equilibrium first. If both equilibria have the same stability, enter them in either order. x O Stable O Unstable x = O Stable O Unstable
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