Hello,
I looked at the Maxima archive and did not find this (if I am wrong, sorry)
The Bessels' equation will solve with ode2
ode2(x2*'diff(y,x,2)+x*'diff(y,x)+(x2-4)*y=0,y,x)
y = bessel_y(2, x) %k2 + bessel_j(2, x) %k1
but the modified Bessel's will give false
ode2(x2*'diff(y,x,2)+x*'diff(y,x)-(x2+4)*y=0,y,x)
false
I am using EuMathT as a frontend to Maxima 5.16.3. I do not know if this
has been corrected in the recent versions of Maxima.
Best Regards,
Radovan