n n=0 (n!)²2²n Hy that y(x) = -0 x²y" + xy' + x²y = 0 x²n is a solution to the given differential equat (n!) ²2²n X²

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 29CR
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Verify that y(x) = Σn_o (-1)"
n=0 (n!)²2²n
x²y" + xy + x²y = 0
X
2n is a solution to the given differential equation.
Transcribed Image Text:Verify that y(x) = Σn_o (-1)" n=0 (n!)²2²n x²y" + xy + x²y = 0 X 2n is a solution to the given differential equation.
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