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## Homework Statement

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)

## Homework Equations

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.

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