> From: esvax
>
> Maxima can't solve Bessel differential equation:
>
> (%i2) ode2(x^2*'diff(y,x,2)+x*'diff(y,x)+(x^2*m^2-k^2)*y[x] =
> 0, y, x);
> %o2) false
>
> But Mathematica 5.2 solve this quation without problems:
Firstly, there is a syntax error. Using y[x] is wrong. Try something
like:
(%i1) ode2( x^2*'diff(y,x,2)+x*'diff(y,x)+(x^2-k^2)*y=0, y, x);
is k an integer? type y or n.
y;
(%o1) y = %k2 bessel_y(k, x) + %k1 bessel_j(k, x)
Your are correct that ode2 cannot solve your ode ...
(%i2) ode2( x^2*'diff(y,x,2)+x*'diff(y,x)+(m^2*x^2-k^2)*y=0, y, x);
(%o2) false
... but contrib_ode can
(%i4) load('contrib_ode)$
(%i5) contrib_ode(x^2*'diff(y,x,2)+x*'diff(y,x)+(m^2*x^2-k^2)*y=0, y,
x);
(%o5) [y = %k2 bessel_y(k, - m x) + %k1 bessel_j(k, - m x)]
(%i6)
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