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Solve bug in Mathematica 5


Hi,

The following example demonstrates Mathematica 5.0 "improvements"
in Solve. 

lygtys2={E^(a*k*Cot[a*k])*Subscript[A, 1] - Cos[a*k]*Subscript[A, 2] +
Sin[a*k]*Subscript[B, 2] == 0, 
 -(E^(a*k*Cot[a*k])*k*Cot[a*k]*Subscript[A, 1]) -
k*Sin[a*k]*Subscript[A, 2] - 
   k*Cos[a*k]*Subscript[B, 2] == 0, Cos[a*k]*Subscript[A, 2] +
Sin[a*k]*Subscript[B, 2] - 
   E^(a*k*Cot[a*k])*Subscript[B, 3] == 0, 
 -(k*Sin[a*k]*Subscript[A, 2]) + k*Cos[a*k]*Subscript[B, 2] - 
   E^(a*k*Cot[a*k])*k*Cot[a*k]*Subscript[B, 3] == 0}

Solve[lygtys2, {Subscript[A, 2], Subscript[B, 2], Subscript[B, 3],
Subscript[A, 1]}]

gives {0,0,0,0}, thought equations are lineary dependent. 4.1 returns
correct rezult.


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