A function u = f(x, y) with continuous second partial derivatives satisfying Laplace's equation harmonic function. Calculate the indicated derivatives and determine if the function u(x, y) = x - x²y³ is harmonic. 12x²-³ dx² Incorrect -6x²y dy² Is the function u = x¹-x²y³ harmonic? yes no || = 0 is called a

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A function u = f(x, y) with continuous second partial derivatives satisfying Laplace's equation
harmonic function.
Calculate the indicated derivatives and determine if the function u(x, y) = x - x²y³ is harmonic.
Fu
dx²
12x²-³
Incorrect
-6x²y
dy²
Is the function u = x¹-x²y³ harmonic?
yes
no
||
= 0 is called a
Transcribed Image Text:A function u = f(x, y) with continuous second partial derivatives satisfying Laplace's equation harmonic function. Calculate the indicated derivatives and determine if the function u(x, y) = x - x²y³ is harmonic. Fu dx² 12x²-³ Incorrect -6x²y dy² Is the function u = x¹-x²y³ harmonic? yes no || = 0 is called a
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