- #1

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- 5

- Homework Statement
- Find a function that solves the complex problem ## f:C \rightarrow C## that solves ##\frac{df}{dx} = 6x + 6iy##

- Relevant Equations
- ##\Delta u = Re(f) = \frac{df^2}{dx^2} + \frac{df^2}{dy^2}##

**Mentor note**: Edited to fix LaTeX problems

##f:C \rightarrow C## that solves ##\frac{df}{dx} = 6x + 6iy##

## f(x,y) = 3x^2 + 6xyi + C(y) = (3x^2 + C(y)) + i(6xy) ##

## \Delta u = 0 \rightarrow 6 + C''(y) = 0 \rightarrow C(y) =5 \frac{5}{5}##

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