It can be shown that y, = ex sin(6x) and y2 = e'x cos(6x) are solutions to the differential equation Dy – 6Dy + 45y = 0 on (-o, co). www. What does the Wronskian of y1, y2 equal on (-0o, 0)? W(y1 , y½) = on (-0o, co). Yes 1. Is {yı, y2} a fundamental set for Dy – 6Dy+ 45y = 0 on (-co, co)- %3D

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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It can be shown that y = e sin(6x) and y2
differential equation Dy - 6Dy + 45y = 0 on (-∞, co).
ex cos(6x) are solutions to the
What does the Wronskian of y1, y2 equal on (-0o, o)?
W(y1 , y2) =
on (-o, co).
Yes 1. Is {yı, y2} a fundamental set for Dy – 6Dy + 45y = 0 on (-co, co)?
Transcribed Image Text:It can be shown that y = e sin(6x) and y2 differential equation Dy - 6Dy + 45y = 0 on (-∞, co). ex cos(6x) are solutions to the What does the Wronskian of y1, y2 equal on (-0o, o)? W(y1 , y2) = on (-o, co). Yes 1. Is {yı, y2} a fundamental set for Dy – 6Dy + 45y = 0 on (-co, co)?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,