Posted by Brad Paul on October 10, 2002 at 20:09:33:
In Reply to: Linear Dependence problem posted by colin on October 10, 2002 at 15:16:49:
: 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.
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