recategorized by
0 votes
0 votes

A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^2-2y^2+4xy$ is a harmonic function, then its conjugate harmonic function $v(x,y)$ is

  1. $4xy-2x^2+2y^2+ \text{constant}$
  2. $4y^2-4xy + \text{constant}$
  3. $2x^2-2y^2+ xy + \text{constant}$
  4. $-4xy+2y^2-2x^2+ \text{constant}$
recategorized by

Please log in or register to answer this question.

Answer:

Related questions

1 answers
0 votes
Arjun asked Feb 9, 2019
For the equation $\dfrac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is$\dfrac{7}{3}e^{-7/3} \\$$\dfrac{7}{3}e^{-3/7} \\$$\dfrac{3}{7}e^{-7/3} \\$$\dfrac{3}...
0 answers
0 votes
gatecse asked Feb 22, 2021
The Dirac-delta function $\left ( \delta \left ( t-t_{0} \right ) \right )$ for $\text{t}$, $t_{0} \in \mathbb{R}$, has the following property$$\int_{a}^{b}\varphi \left ...
1 answers
0 votes
go_editor asked Mar 1, 2021
If the Laplace transform of a function $f(t)$ is given by $\frac{s+3}{\left ( s+1 \right )\left ( s+2 \right )}$, then $f(0)$ is$0$$\frac{1}{2}$$1$$\frac{3}{2}$
0 answers
0 votes