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Find the general homogeneous part of the differential equation Y"+y-12y3Dcos(3x). y= Ce-3x+ Czex y=C xe3X + Cze4x

Find the general homogeneous part of the differential equation Y"+y-12y3Dcos(3x). y= Ce-3x+ Czex y=C xe3X + Cze4x

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
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Find the general homogeneous part of the differential equation y"+y-12y=cos(3x). A y= Ce¯3X+ C2e* B y= C, xeX+ C2e^x y= C e³X+ Cze¯Ax -4x D y3 C xe3x+ C2xe¯4x
Transcribed Image Text:Find the general homogeneous part of the differential equation y"+y-12y=cos(3x). A y= Ce¯3X+ C2e* B y= C, xeX+ C2e^x y= C e³X+ Cze¯Ax -4x D y3 C xe3x+ C2xe¯4x
Solve using MUC: -8y +16y=2(x+ 12) 8 A y Ce^X+ C,xe^X + 2 y= C, e^x C2xe^* + 3 7 y=C, e^* + C>xe*x +x B 8. O y-C, *+ Czxe* -x- 3 y= C;e^X+ C2xeAx - 8. (3. y=C,e^X+ C2xe^X+ 7. 8 8. y-C, etx+ Cxe*x + 2 E.
Transcribed Image Text:Solve using MUC: -8y +16y=2(x+ 12) 8 A y Ce^X+ C,xe^X + 2 y= C, e^x C2xe^* + 3 7 y=C, e^* + C>xe*x +x B 8. O y-C, *+ Czxe* -x- 3 y= C;e^X+ C2xeAx - 8. (3. y=C,e^X+ C2xe^X+ 7. 8 8. y-C, etx+ Cxe*x + 2 E.
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