Bessel differential equation
- Subject: Bessel differential equation
- From: esvax
- Date: Wed, 12 Aug 2009 02:05:13 +0300
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:
In[1]:=
DSolve[{x^2 y''[x]+x y'[x]+(x^2 m^2-k0^2) y[x]\[Equal]0},y,x]
Out[1]=
{{y\[Rule]Function[{x},BesselJ[k0,m x] C[1]+BesselY[k0,m x] C[2]]}}
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Vasiliy