Airy Turning-Point Solutions
Follow normalized solutions through a differential equation's turning point.
Free theory articleFollow 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:
- Select a basis function from the Basis control.
- Adjust the probe point `x` across the interval [-3, 3] from the Probe x control.
- 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.