Let be yı(x) and y2(x) solutions for a differential equation with constant lineal coefficients y" + 9y' + by = 0 Such that the Wronskian W (y1 ,y2) = 16e* so its possible that: Oa) y1(z) = e O b) y1 (x) = e-25z y y2(x) = e7= iy y2(z) = zei- %3D Oc) y1(z) = ey y2(z) = ei* Od) y1 (z) = e y 2(z) = ei*

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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Let be yı(x) and y2(x) solutions for a differential equation with constant lineal coefficients
y" + 9y' + by = 0
Such that the Wronskian W (y1,y2) = 16en* so its possible that:
y y2(z) = reiz
O a) y1 (2) = e
= (2) f
O b) y1 (x) = e
Oc) y1 (x) = e
%3D
y 2(z) = ez
* y y2(z) = ei
Od) y1 (z) = e y 2(z) = ei*
= ey y2(x) = e*
%3D
Transcribed Image Text:Let be yı(x) and y2(x) solutions for a differential equation with constant lineal coefficients y" + 9y' + by = 0 Such that the Wronskian W (y1,y2) = 16en* so its possible that: y y2(z) = reiz O a) y1 (2) = e = (2) f O b) y1 (x) = e Oc) y1 (x) = e %3D y 2(z) = ez * y y2(z) = ei Od) y1 (z) = e y 2(z) = ei* = ey y2(x) = e* %3D
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