Find a formula involving integrals for a particular solution of the differential equation y" – 18y" + 108y - 216y = g(t). Y(t) - 8(0)re ds + 3te* | 8(3)se6* ds / 8(9)s²e- ds – te g(s)se-6 ds+ / 8(9)e-6 ds Y(t) - 8(9)se ds+ teor g(s)se-6s ds - g(s)s²e-6s ds 2 Y(t) 2 Y(t) 2 g(s)e-6s ds – te / g(s)se-6 ds+ - - / 8(9)s²e*ds Y(t) g(s)e¬65 ds

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a formula involving integrals for a particular solution of the differential equation
y" – 18y" + 108y - 216y = g(t).
Y(t)
- 8(0)re ds + 3te* | 8(3)se6* ds
/ 8(9)s²e- ds – te
g(s)se-6 ds+
/ 8(9)e-6 ds
Y(t)
- 8(9)se ds+ teor
g(s)se-6s ds -
g(s)s²e-6s ds
2
Y(t)
2
Y(t)
2
g(s)e-6s ds – te / g(s)se-6 ds+ -
- / 8(9)s²e*ds
Y(t)
g(s)e¬65 ds
Transcribed Image Text:Find a formula involving integrals for a particular solution of the differential equation y" – 18y" + 108y - 216y = g(t). Y(t) - 8(0)re ds + 3te* | 8(3)se6* ds / 8(9)s²e- ds – te g(s)se-6 ds+ / 8(9)e-6 ds Y(t) - 8(9)se ds+ teor g(s)se-6s ds - g(s)s²e-6s ds 2 Y(t) 2 Y(t) 2 g(s)e-6s ds – te / g(s)se-6 ds+ - - / 8(9)s²e*ds Y(t) g(s)e¬65 ds
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