given the initial value problem x^(2)y'' + xy' + y = 0, y(1) = 2, y'(1) = 3 show that the two functions y1 = cos(lnx) and y2 = sin(lnx) are solutions of the differential equation x^(2)y'' + xy' + y = 0

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
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given the initial value problem

x^(2)y'' + xy' + y = 0, y(1) = 2, y'(1) = 3

show that the two functions y1 = cos(lnx) and y2 = sin(lnx) are solutions of the differential equation

 

x^(2)y'' + xy' + y = 0

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