# Thread: proving fundamental set of solutions

1. ## proving fundamental set of solutions

i want to prove that for a homogeneous, constant-coefficient, differential equation that has k repeated roots r, the solutions are e^rt, te^rt,...,t^(k-1)e^rt.

i know i have to use the Wronskian and take the determinant but how would you take the determinant of such a huge matrix? is that the only way to prove it?

2. how would you prove this?