The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y₂(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. Y2(x) = Yp(x)= y" - 3y + 2y = 11e³; ₁= ex

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.2.9

The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to
find a second solution y₂(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous
equation.
y" − 3y' + 2y = 11e³×; Y₁ = e×
Y₂(x) =
Yp(x)=
Transcribed Image Text:The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y₂(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. y" − 3y' + 2y = 11e³×; Y₁ = e× Y₂(x) = Yp(x)=
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Given that the differential equation y''-3y'+2y=11e3x  ;   y1=ex 

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