mathematical ORGASM!
(*) x2yxx+xyx + (x2- n2)y +yp-1 = 0, y(0) = y(g) = 0,
with p > 2, n > 0. Denote by Jn(x), J-n(x) the Bessel functions of the first kind, and let z(n), z(-n) denote their first positive zero, respectively.
(I) n Î [1,¥) and g Î (0, z(n)); or... (II) n Î (0,1) and g Î (z(-n), z(n)).
u=x2-y2,
v=x2+y2
ha ha ha ha ha ha ha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! oooooooooohhhhhhhhhh yessssssssssssssssssssssssssssssssssssssssssssssssssssssss! harder harder harder!
M(x,y)dx+N(x,y)dy=0
M(x,y)+N(x,y)dy/dx=0
M(x,y)dx/dy+N(x,y)=0
mmmmmm yeah that was good. Lays back and lights a cigarette.
with p > 2, n > 0. Denote by Jn(x), J-n(x) the Bessel functions of the first kind, and let z(n), z(-n) denote their first positive zero, respectively.
(I) n Î [1,¥) and g Î (0, z(n)); or... (II) n Î (0,1) and g Î (z(-n), z(n)).
u=x2-y2,
v=x2+y2
ha ha ha ha ha ha ha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! oooooooooohhhhhhhhhh yessssssssssssssssssssssssssssssssssssssssssssssssssssssss! harder harder harder!
M(x,y)dx+N(x,y)dy=0
M(x,y)+N(x,y)dy/dx=0
M(x,y)dx/dy+N(x,y)=0
mmmmmm yeah that was good. Lays back and lights a cigarette.