W(t) = W(y1, y2) find the Wronskian.
Equation for both y1 and y2: 81y'' + 90y' - 11y = 0
y1(0) = 1
y1'(0) = 0
Calculated y1: (1/12)e^(-11/9 t) + (11/12)e^(1/9 t)
y2(0) = 0
y2'(0) = 1
Calculated y2: (-3/4)e^(-11/9 t) + (3/4)e^(1/9 t)
W(y1, y2) = |y1 y2 |
| y1' y2' |
The Attempt at a Solution
After calculating y1 and y2, I don't seem to be able to do this determinant calculation. Mostly because it just doesn't look right, plugging in those giant equations and taking the derivative of them. Am I missing something here? Thanks for any help in advance.