Suppose that the three numbers r1, r2, and r3 are dis- tinct. Show that the three functions exp(r1x), exp(r2x), and exp(r3x) are linearly independent by showing that their Wronskian W = exp[(r1 +r2 +r3)x] · r1 r2 r3 is nonzero for all x.
Suppose that the three numbers r1, r2, and r3 are dis- tinct. Show that the three functions exp(r1x), exp(r2x), and exp(r3x) are linearly independent by showing that their Wronskian W = exp[(r1 +r2 +r3)x] · r1 r2 r3 is nonzero for all x.
Chapter4: Linear Functions
Section: Chapter Questions
Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7
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