Consider the following nonhomogeneous linear system: x = y + et = -2x + 3y + 2 y = 1.Which of the following is the complementary solution of the given linear system of ODES?

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Q: Evaluate the following intergral: S6√³36 - x² -6√√36 1 5-x2 (1+x² + y2)2 dy dx

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Q: 2. Using standard Laplace transforms and trigonometric identities, find Laplace transforms of a.…

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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A: This is a question of finite math.

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A: We solve this by first operating multiplication then subtraction and then we combine like terms.

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Q: Find a basis for the column space and the rank of the matrix. 4 2 -3 -6 14 7 -6 -3 -4-2 1-2 4 2 -2…

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Q: 2. Use an appropriate test to determine if the series converges or diverges ∞ Σ n=l 3 1 + 2n

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Q: Solve the IVP: y(4) +2y"+y=0, y(0)=1, y'(0)=-1, y"(0)=0, y" (0) = 2

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