Question

A) Write e^(2e √2i) in the form of a + bi. B) Verify that u(x, y)...

A) Write e^(2e √2i) in the form of a + bi.

B) Verify that u(x, y) = −3xy^2 + x^3 is harmonic, and find its harmonic conjugate.

Homework Answers

Answer #1

​​​​​​if you mean the no (a) math, otherwise, please comment the meaning of (2e√2)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
simplify. wirte your answer in the form a+bi a) 2+i / 6-2i b) (4+2i)(2-i)
simplify. wirte your answer in the form a+bi a) 2+i / 6-2i b) (4+2i)(2-i)
Evaluate the following and write in standard form for a complex number (a + bi) a)...
Evaluate the following and write in standard form for a complex number (a + bi) a) (5-2i)(6+3i) b) 4+5i / 2-7i c) i87
Verify the Caucy-riemann equations for the functions u(x,y), v(x,y) defined in the given domain u(x,y)=x³-3xy², v(x,y)=3x²y-y³,...
Verify the Caucy-riemann equations for the functions u(x,y), v(x,y) defined in the given domain u(x,y)=x³-3xy², v(x,y)=3x²y-y³, (x,y)ɛR u(x,y)=sinxcosy,v(x,y)=cosxsiny (x,y)ɛR u(x,y)=x/(x²+y²), v(x,y)=-y/(x²+y²),(x²+y²),   ( x²+y²)≠0 u(x,y)=1/2 log(x²+y²), v(x,y)=sin¯¹(y/√¯x²+y²), ( x˃0 )                          In each case,state a complex functions whose real and imaginary parts are u(x,y) and v(x,y)
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of...
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of a such that u(x, y) is harmonic. (b) Find the harmonic conjugate of u(x, y) as v(x, y). (c) Find the analytic function f(z) = u(x, y) + iv(x, y) in terms of z. (d) Find f ′′( π 4 − i) =?
a)Prove that the function u(x, y) = x -y÷x+y is harmonic and obtain a conjugate function...
a)Prove that the function u(x, y) = x -y÷x+y is harmonic and obtain a conjugate function v(x, y) such that f(z) = u + iv is analytic. b)Convert the integral from 0 to 5 of (25-t²)^3/2 dt into a Beta Function and evaluate the resulting function. c)Solve the first order PDE sin(x) sin(y) ∂u ∂x + cos(x) cos(y) ∂u ∂y = 0 such that u(x, y) = cos(2x), on x + y = π 2
Can you find a functionv (x,y) so that u+iv is entire with u(x,y) =x^3+ 3xy^2 ?...
Can you find a functionv (x,y) so that u+iv is entire with u(x,y) =x^3+ 3xy^2 ? (cauchy- riemann equations---hint)
Two functions, u(x,y) and v(x,y), are said to verify the Cauchy-Riemann differentiation equations if they satisfy...
Two functions, u(x,y) and v(x,y), are said to verify the Cauchy-Riemann differentiation equations if they satisfy the following equations ∂u\dx=∂v/dy and ∂u/dy=−(∂v/dx) a. Verify that the Cauchy-Riemann differentiation equations can be written in the polar coordinate form as ∂u/dr=1/dr ∂v/dθ and ∂v/dr =−1/r ∂u/∂θ b. Show that the following functions satisfy the Cauchy-Riemann differen- tiation equations u=ln sqrt(x^(2)+y^(2)) and v= arctan y/x.
Solve: (e^x)y'' + (2e^x)y' + (e^x)y = lnx
Solve: (e^x)y'' + (2e^x)y' + (e^x)y = lnx
The real part of a f (z) complex function is given as (x,y)=y^3-3x^2y. Show the harmonic...
The real part of a f (z) complex function is given as (x,y)=y^3-3x^2y. Show the harmonic function u(x,y) and find the expressions v(x,y) and f(z). Calculate f'(1+2i) and write x+iy algebraically.
1-solve for x and y 3x+(y-2)i=(5-2x)+(3y-8)i 2-solve for z and write the answer with standard form...
1-solve for x and y 3x+(y-2)i=(5-2x)+(3y-8)i 2-solve for z and write the answer with standard form (3-2i)z+(4i+6)=8i 3-preform the indicated operation and write the answer with standard form (9+5i)-(6+2i)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT