Analytic function based Questions| Analytic function important question | `f(z)=sqrt(|xy|)`

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Complex analysis
Milne Thomson method
Analytic function based on question solved
If u=e^(x)(x cos y-y sin y) find the analytic function u+iv
Show that the function `u=x^(3)-3xy^(2)` is harmonic and find the corresponding

Prove that the function u=x^(3)-3xy^(2)+3x^(2)-3y^(2)+1 satisfies Laplace's equation and determine the corresponding analytic function u+iv.

Show that the function `f(z)=sqrt(|xy|)` is not analytic at the origin although the Cauchy-Riemann equations are satisfied at that point.

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Sir subsidiary ke liye kya pdhu kuch smjh me hi nhi aa rha h guess paper se to kuchh de hi nhi rha h

pritikumariroy
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Sir, B.Sc part 3 ka math ka question dale

ramnareshmathematics
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Guru ji ham sab student ka whatsapp group bana digiye please

Niranjankumar-kbbv