Bessel functions, which we used in the lab exam last week, are solutions of ODEs similar to
x^2 y'' + x y' + (x^2 -4) y = 0.
State the order of this ODE and give a complete set of initial conditions at x = 1. Numerically determine the solution of the ODE from these initial conditions using the midpoint method with a step size of 0.05.
x^2 y'' + x y' + (x^2 -4) y = 0.
State the order of this ODE and give a complete set of initial conditions at x = 1. Numerically determine the solution of the ODE from these initial conditions using the midpoint method with a step size of 0.05.
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