The indicated function y,(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y,(x) of the homogeneous equation and a particular solution y,(x) of the given nonhomogeneous equation. y"-5y'+ 4y = x; Y1 = e* Y2(x) = Yp(x) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The indicated function y,(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to
find a second solution y,(x) of the homogeneous equation and a particular solution y,(x) of the given nonhomogeneous
equation.
y"-5y'+ 4y = x; y, = e
Y2(x)
%3D
Y(x) =
Transcribed Image Text:The indicated function y,(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y,(x) of the homogeneous equation and a particular solution y,(x) of the given nonhomogeneous equation. y"-5y'+ 4y = x; y, = e Y2(x) %3D Y(x) =
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