The particular solution of the following nonhomogeneous differential equation y"-6y' + 9y = 4x2 +e3x by undetermined coefficients is: y(x) = Ax² + Bx + C + Dx²e* Y,(x) = Ax² + Bx +C + Dx²e* %3D O This option O This option Y,(x) = Ax² + Bx + C+ De* Y,(x) = Ax² + Bx +C + Dxe*

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The particular solution of the following nonhomogencous differential equation
y"-6y' + 9y = 4x2 + e3x
by undetermined coefficients is:
y,x) = Ax² + Bx + C + Dx²e*
Y, (x) = Ax + Bx + C + Dx'e*
%3D
) This option
This option
Y,(x) = Ax² + Bx +C + De
y,(x) - Ax 4 Bx + C+ Dxe
Transcribed Image Text:The particular solution of the following nonhomogencous differential equation y"-6y' + 9y = 4x2 + e3x by undetermined coefficients is: y,x) = Ax² + Bx + C + Dx²e* Y, (x) = Ax + Bx + C + Dx'e* %3D ) This option This option Y,(x) = Ax² + Bx +C + De y,(x) - Ax 4 Bx + C+ Dxe
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