Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following expression as a solution: y = c0 (1 + xTan-1x) + c1x
Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following expression as a solution: y = c0 (1 + xTan-1x) + c1x
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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Question
Prove that the following differential equation:
(1 + x2)y'' + 2xy' - 2y = 0
has the following expression as a solution:
y = c0 (1 + xTan-1x) + c1x
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