11. (6 pts) Use eigen-values and eigen-vectors to solve the system of differential equations. = 4x + 5y dy = -2x + 6y (H
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11. (6 pts) Use eigen-values and eigen-vectors to solve the system of differential equations. = 4x + 5y dy = -2x + 6y (H
11. (6 pts) Use eigen-values and eigen-vectors to solve the system of differential equations. = 4x + 5y dy = -2x + 6y (Hint: For complex eigen-values 1 = a + iß we can find the eigen-vectors X1 = [B, cos Bt - B2 sin Bt] eat X₂ [B2 cos Bt + B1 sin Bt] eat
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