state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematical Science Complex Analysis

Which one of the following is harmonic function?

1

f(x, y) = x² - y² - 2xy - 2x + 3y

2

f(x, y) = x³ + y³

3

f(x, y) = x⁴ + y⁴ - xy

4

f(x, y) = x2 - y³+ 2xy

5

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