First note that y 1 (x) = x is one solution of Legendres equation of order 1,

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First note that y₁(x) = x is one solution of Legendre’s equation of order 1,
Then use the method of reduction of order to derive the second solution

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Aug 18, 2023 02:48 AM

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First note that y 1 (x) = x is one solution of Legendres equation of order 1,

Question:

(1-x2)y" - 2xy' + 2y = 0.

Step by Step Answer:

When we substitute yvx in the given differential equation and simplify we get the ...View the full answer

Differential Equations And Linear Algebra

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