The system x' + y = t; 4x + y' = 0; where: x(0) = 1; y(0) = 2 has a -2t (x = a + be ly=t+de + ce²t -2t + ae²t. solution set

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: (2t+1)(2t-1) dt. 4. S

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Q: y³ = 1 3x + 4y = 5 6x³ –

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Q: Solve the system Ÿ' = AŸ + Ġ for A

A: a0 A = 7-143 , B = 5505 , P = 122-1Then p-1 = 1-1 -4 -1-2-21               = 1-5 -1-2-21…

Q: y" + 4y + 4y = e-2x x²

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Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

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Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

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Q: Solve zx+zzy= 2x, z(0, y) = y

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Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

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Q: Y= (10x; + x, } (5x, + x}} 15

A: We have to differentiate partially to this equation:

Q: Determine the solutions of: y^n  + 4y  = 0 y(-π) = y(π), y´(-π) = y´(π)

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