Consider the equation 4y"+by'+cy=0 and the nonzero real constants b, c, m and n. If the general solution of the differential equation is of the form: y(x) = C1e™ cos(nx) + Cze™# sen(nx) mr %3D It can be stated with certainty that: a) b² = 4c b) b² = 16c c) b² < 16c d) b² < 4c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the equation 4y"+by'+cy=0 and the nonzero real constants b, c, m and n. If the general
solution of the differential equation is of the form:
y(x) = C1em cos(nx) + Cze™ sen(nx)
It can be stated with certainty that:
a) 62
4c
b) b2 = 16c
c) b² < 16c
d) b² < 4c
Transcribed Image Text:Consider the equation 4y"+by'+cy=0 and the nonzero real constants b, c, m and n. If the general solution of the differential equation is of the form: y(x) = C1em cos(nx) + Cze™ sen(nx) It can be stated with certainty that: a) 62 4c b) b2 = 16c c) b² < 16c d) b² < 4c
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