Let n be a positive integer and let u(x, y) = (x² + y²)". Show that (2²2²2 + 3²²) ₁ dx² дуг u(x, y) C = = с x² + y² -u(x, y) where C is a constant depending on n. Find the value of C.
Let n be a positive integer and let u(x, y) = (x² + y²)". Show that (2²2²2 + 3²²) ₁ dx² дуг u(x, y) C = = с x² + y² -u(x, y) where C is a constant depending on n. Find the value of C.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let n be a positive integer and let
u(x, y) = (x² + y²)". Show that
(2²2²2 +2²²) ₁
дуг
u(x, y)
C =
=
с
x² + y²
-u(x, y)
where C is a constant depending on n. Find the
value of C.
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