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Given the differential equation: y (3)-y"-12y '=x-2re-³r Choose All Correct Answers Below A A particular solution is given by: (a₁ + a₂e) + x (a₁ + a₂e-³) A particular solution is given by: x(a₁ + a₂e-³) + x²(a+a_e-³) The Complementary function is given by: =C y=c₁+c₂ There is no duplication with the complementary function. E) There is duplication with the complementary function. The Complementary function is given by: y =c+c.

Given the differential equation: y (3)-y"-12y '=x-2re-³r Choose All Correct Answers Below A A particular solution is given by: (a₁ + a₂e) + x (a₁ + a₂e-³) A particular solution is given by: x(a₁ + a₂e-³) + x²(a+a_e-³) The Complementary function is given by: =C y=c₁+c₂ There is no duplication with the complementary function. E) There is duplication with the complementary function. The Complementary function is given by: y =c+c.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the differential equation: y (3)-y" - 12y '=x-2re-3r Choose All Correct Answers Below A A particular solution is given by: (a₁ + a₂e) + x (a₁ + a₂e-³) A particular solution is given by: x(a₁ + ª₂e-³) + x²(a+ae-³) The Complementary function is given by: =C y=c₁ + c₂ There is no duplication with the complementary function. E There is duplication with the complementary function. The Complementary function is given by: y=c₁+c.
Transcribed Image Text:Given the differential equation: y (3)-y" - 12y '=x-2re-3r Choose All Correct Answers Below A A particular solution is given by: (a₁ + a₂e) + x (a₁ + a₂e-³) A particular solution is given by: x(a₁ + ª₂e-³) + x²(a+ae-³) The Complementary function is given by: =C y=c₁ + c₂ There is no duplication with the complementary function. E There is duplication with the complementary function. The Complementary function is given by: y=c₁+c.
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