Please explain the reasons thank you 13 Figure 426 contains

Please explain the reasons. thank you.

13. Figure 4.26 contains graphs of solutions to the Duffing. Airy, and van der Pot equations. Try to match the solution to the equation. Please explain the reasons. thank you.

Solution

B- Duffing (The equation describes the motion of a damped oscillator with a more complicated potential than in simple harmonic motion)

A-Airy (The Airy function also underlies the form of the intensity near an optical directional caustic, such as that of the rainbow)

C- Vander Pol (The equation models a non-conservative system in which energy is added to and subtracted from the system, resulting in a periodic motion called a limit cycle)