! Y1 (x) y Y2(x), Let be solutions of the linear differential equation with constant coefficients y" + 8y' + by =0 such that the Wronskian W (y1, Y2) = 16enz then it is possible that: a) y1(x) = e' -12z =e=1? Y2(x) = ze4z b) y1(x) = e-12= y y2(x) = e4z c) y1(x) = e12z y 32(z) = e4z d) y1(x) = e-24z *y 32(x) = e&z

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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! Y1 (x) y Y2(x),
Let
be solutions of the linear differential equation with constant coefficients
y" + 8y' + by =0 such that the Wronskian
W (y1, Y2) = 16enz
then it is possible that:
a) y1(x) = e'
-12z
=e=1?
Y2(x) = ze4z
b) y1(x) = e-12= y y2(x) = e4z
c) y1(x) = e12z
y 32(z) = e4z
d) y1(x) = e-24z
*y 32(x) = e&z
Transcribed Image Text:! Y1 (x) y Y2(x), Let be solutions of the linear differential equation with constant coefficients y" + 8y' + by =0 such that the Wronskian W (y1, Y2) = 16enz then it is possible that: a) y1(x) = e' -12z =e=1? Y2(x) = ze4z b) y1(x) = e-12= y y2(x) = e4z c) y1(x) = e12z y 32(z) = e4z d) y1(x) = e-24z *y 32(x) = e&z
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