The system of first order differential equations y₁ = -4y1 +9y2 + 1 Y2 = 9y₁ − 4y2 + 1 where y₁ (0) = 0, y2 (0) = 0 has solution 1 y₁ (t)= y₂(t) = 110 7t 7 -11t e e 99 129 77 (110e7t + 7e¯¹lt – 117) ; ( 9 63 1 693

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