Find a general solution to the following higher-order equations. (a) y"' - 5y" + 5y' + 11y = 0 (b) y"' + 5y" + 7y' – 13y = 0 (c) y" + 20y" + 64y = 0 iv (a) y(t) =

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A: Use separable variable method

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Q: Find the general solution to the equation y4) – 6y" + 9y" = 0. NOTE: Use c1, c2, C3, and c, as…

A: We can rewrite the given equation as y''(y''-6y'+9y)=0 Put y = erx then y' = rerx and y'' = r2erx

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Q: (a) Find the general solution of the following equation: y(3) + 5y" + 3y' – 9y = -27x +9+32e". %3D

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Q: Which of the following equations has no real solutions? 3 (x² + 9) = 0 d. (x + 3)(x – 2)(x – 5)(x +…

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Q: 1. Find x and y so that (a) x = 4, y = -14 (b) x = 5, y = -5 (c) x = 3, y=-11/3 (d) x = -5, y = -15…

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Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant…

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Q: 6. Find the general solution to: y" – 2y + y = x²e"

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