Here is a plot that shows the oscillatory behavior of the Airy functions for large negative values of x.
The solution to this equation is given in terms of the derivatives of the Airy functions, AiryAiPrime and AiryBiPrime.
Here is the solution for Bessel's equation with n=4. Note that the solution is given in terms of Bessel functions of the first kind, BesselJ, as well as those of the second kind, BesselY.
Here is a plot of the BesselJ functions for specific values of n.
With n set to 5, the solution is given in terms of polynomials, exponentials, and Erfi.
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