Assume as known that the Vandermonde determinant
is nonzero if the numbers r1, r2,..., rn are distinct. Prove by the method of Problem that the functions
are linearly independent.
Problem
Suppose that the three numbers r1, r2, and r3 are distinct. Show that the three functions exp(r3x), exp(r2x), and exp(r3x) are linearly independent by showing that their Wronskian
is nonzero for all x.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.