The system of first order differential equations y₁ = 5y₁ + 1y2 y2 = −4y₁ + 1y2 where y₁ (0) = 4, y2 (0) = -7 has solution y₁(t) = (4-t) e³t -7e³t y₂(t) =

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A: given differential equation: (4x + y - 1)dx + (x - y - 4)dy = 0

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = −4y₁ + 1y2 where y₁ (0)= 4, y2…

A: The objective of the question is to verify if the given functions y1(t) = (4 - t)e^(3t) and y2(t) =…

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A: the solution to the linear system of differential equations

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Q: Solve the given system of differential equations by systematic elimination.

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