A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y) + 2y" -y' - 2y=0; y(0) = 8, y'(0) = 10, y'"(0) = 0; Y, = e*, y2 = e X, y3 =e -2x The particular solution is y(x) =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions.
y() + 2y" - y' - 2y = 0; y(0) = 8, y'(0) = 10, y"(0) = 0;
Y, = e*, y2 =
-2x
The particular solution is y(x)%=
Transcribed Image Text:A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y() + 2y" - y' - 2y = 0; y(0) = 8, y'(0) = 10, y"(0) = 0; Y, = e*, y2 = -2x The particular solution is y(x)%=
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