1. Determine the form of the general solution to the following differential equations а. у'з) + у" — 8y — 12у %3D 0 - Ou(3) 4. J1

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Differential Equation

Solve the following problems systematically and neatly. Enclose all final answers in a box.

1. Determine the form of the general solution to the following differential equations
а. у3) + у" — 8y' — 12у %3D0
b. y4) + 2y(3) + 4y" — 2у' — 5у 3 0
С. у) + 5у(2) — 36у %3D - 2 сos 3x + 3хе 2x
d. y(3) + y" + y' + y = 5 sinx + 2e* – e x
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Transcribed Image Text:1. Determine the form of the general solution to the following differential equations а. у3) + у" — 8y' — 12у %3D0 b. y4) + 2y(3) + 4y" — 2у' — 5у 3 0 С. у) + 5у(2) — 36у %3D - 2 сos 3x + 3хе 2x d. y(3) + y" + y' + y = 5 sinx + 2e* – e x -
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