Which of the following is the linear differential equation with constant coefficients obtained when a suitable transformation is applied to the y"x+ 3y' +y = Inx di fferential equation? d²y a) dt2 +2+ 3y = te* dt d²y b) dt2 - 2+ y = te-t dt c) + 2+ y = Int d²y dt2 d²y +2dy = 8lnt dt2 d²y е) dt? 8t dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following is the linear differential equation with constant
coefficients obtained when a suitable transformation is applied to the
y"x+ 3y' +y =
Inx
di fferential equation?
d²y
a)
dt2
+2+ 3y = te*
dt
d²y
b)
dt2
- 2+ y = te-t
dt
c) + 2+ y = Int
d²y
dt2
d²y
+2dy = 8lnt
dt2
d²y
е)
dt?
8t
dt
Transcribed Image Text:Which of the following is the linear differential equation with constant coefficients obtained when a suitable transformation is applied to the y"x+ 3y' +y = Inx di fferential equation? d²y a) dt2 +2+ 3y = te* dt d²y b) dt2 - 2+ y = te-t dt c) + 2+ y = Int d²y dt2 d²y +2dy = 8lnt dt2 d²y е) dt? 8t dt
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