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Airy Turning-Point Solutions

Follow normalized solutions through a differential equation's turning point.

Free theory article

Follow normalized solutions through a differential equation's turning point.

Concept & interpretation

Follow normalized solutions through a differential equation's turning point.

Interactive Exploration

You can interactively explore the behavior of both Airy solutions using the Airy Turning-Point Solutions module. Follow these ordered instructions:

  1. Select a basis function from the Basis control.
  2. Adjust the probe point `x` across the interval [-3, 3] from the Probe x control.
  3. Observe how the function's value, derivative, and second derivative evolve as you pass through the turning point at x=0. The visual traces also highlight the transition between the oscillatory regime on the left and the exponential regime on the right.
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