Find the smallest-order differential equation provided by the y=c 1 e 9x + C 2 e 7* + C 3 curve family, where c 1, C 2, C 3 are arbitrary constants. O a. y"" – 16y'" + 63y' = 0 О Бьу" - 16у" + 63y' -63у%3D0 ONS. y"- 16у" + 63у%3D 0 O D.y" - 16у" - 63у' %3D 0 O to. y" + 16y" - 63y' = 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the smallest-order differential equation provided by the y=c 1
9X + C 2 e 7x + C 3 curve family, where c 1, C 2, C 3 are arbitrary
e
constants .
О а. у" - 16у" + 63y' %3D0
O b. y" - 16y" + 63y' -63y=0
O NS. y" - 16у" + 63у%3D 0
O D. y" - 16y" - 63y' = 0
O to. y" + 16y" - 63y' = 0
Transcribed Image Text:Find the smallest-order differential equation provided by the y=c 1 9X + C 2 e 7x + C 3 curve family, where c 1, C 2, C 3 are arbitrary e constants . О а. у" - 16у" + 63y' %3D0 O b. y" - 16y" + 63y' -63y=0 O NS. y" - 16у" + 63у%3D 0 O D. y" - 16y" - 63y' = 0 O to. y" + 16y" - 63y' = 0
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