Clairaut's Theorem Let DC R?be a disk containing the origin and assume that g: D R is a function given by g(x,y) = e" (cos y + asin y). Prove that g(,y) satisfies the Clairaut Theorem at point (0,0).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Clairaut's Theorem
Let DC R?be a disk containing the origin and assume
g : D → R is a function given by
that
g(x,y) = e" (cos y + xsin y).
Prove that g(x,y) satisfies the Clairaut Theorem at point
(0,0).
Transcribed Image Text:Clairaut's Theorem Let DC R?be a disk containing the origin and assume g : D → R is a function given by that g(x,y) = e" (cos y + xsin y). Prove that g(x,y) satisfies the Clairaut Theorem at point (0,0).
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