(a)Show that the function u=x^2+y is not a harmonic function. (b)show the function v=x+2y is part of harmonic conjugate and say what f(z) is. Any help?!?!:/
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Originally Posted by NaNa (a)Show that the function u=x^2+y is not a harmonic function. $\displaystyle \frac{\partial^2u}{\partial x^2}=2$ $\displaystyle \frac{\partial^2u}{\partial y^2}=0$ Is $\displaystyle \frac{\partial^2u}{\partial x^2}+\frac{\partial^2u}{\partial y^2}$ equal to 0 ? Any thought you've given to your problems ?!?!
is not (du)^2/(dx)^2+(dv)^2/(dy)^2?!?!
in the next one that I have to do is this: v=x+2y dv/dx=1 du/dx=dv/dx so u=x+f(y) dv/dy=2 du/dy=dv/dy so u=2y+f(x) So v=x+2y f(z)=x+2y+i(x+2y)
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