Posted by Brad Paul on October 10, 2002 at 20:13:10:
In Reply to: Re: Linear Dependence problem posted by Brad Paul on October 10, 2002 at 20:09:33:
: : I need to determine whether the given pair of functions is linearly indep or dependent. How do I do it here.. use the wronskian?
: : f(t) = e^(At)cos(Bt)
: : g(t) = e^(At)sin(Bt)
: : A & B are constants, and B != 0
: Yes use the Wronskian.
: | f(t) g(t) |
: | | =W
: | f'(t) g'(t) |
: If W!=0 then f(t) and g(t) are independent.
: if W=0 over a range of t then f and g are dependent over this range.
The formating is lost in the previous reply.
The odd thing of f's and g's was meant to be a determinant with f and g
in the top row and f' and g' in the bottom row. But I'm sure you know that.
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