¡ ') Find the general solution to y "" - y" + 8y' - 8y = 0. In your answer, use C₁, C₂ and c3 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, and c3 as c3.

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Q: Use residue theory to calculate the following integrals: 3x 1. Loo (x² + 49) (x² − 2x+5) (a) P.V. dx

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Q: Q2). Solve the given system of equations below by Gauss-Seidel. Assume the initial value for each of…

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Q: Investigate the stability of the following system based on linearization 3 X₁ = x₁=X₁²³²+x₂₂ - 32 =…

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Q: show that the Cantor set is a closed subset of R and has measure zero.

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Q: Given y' = 4x x²+2 A. 4x ln x² + 2 + c B. C. D. find y. 4ln|x² + 2] + c 2x ln |x² +2|+c 21n|x² + 2]…

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