Given the differential equation: <-3x y (3)-y"-12y '=x-2x e Choose all correct answers There is duplication with the complementary function. A particular solution is given by: x(a₁ + a₂e³) + x²(a +a¸è¯ The Complementary function is given by: <-3r y=c₁+c₂e +c. A The Complementary function is given by: 3r y =c₁+c₂e³+c₂e-4 A particular solution is given by: E There is no duplication with the complementary function. (a₁ + ª₂e-³) + x (ª¸+ª₂e-³)
Given the differential equation: <-3x y (3)-y"-12y '=x-2x e Choose all correct answers There is duplication with the complementary function. A particular solution is given by: x(a₁ + a₂e³) + x²(a +a¸è¯ The Complementary function is given by: <-3r y=c₁+c₂e +c. A The Complementary function is given by: 3r y =c₁+c₂e³+c₂e-4 A particular solution is given by: E There is no duplication with the complementary function. (a₁ + ª₂e-³) + x (ª¸+ª₂e-³)
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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Transcribed Image Text:Given the differential equation:
<-3r
y (3)-y"-12y '=x-2x e Choose all correct answers
There is duplication with the complementary function.
A particular solution is given by:
x(a₁ + a₂e¯³) + x²(a₂+a_e
The Complementary function is given by:
y =c₁ +c₂e
1
-3r
+c.
The Complementary function is given by:
3x
₂ e ³ + c3e-4
y=c₁+c₂e
=C
A particular solution is given by:
ett
E There is no duplication with the complementary function.
(a₁ + ª₂e¯³) + x (ª¸+ª¸e¯³)
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