Question

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)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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.
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)
Solve the following nonhomogenous Cauchy-Euler equations for x > 0. a. x^(2)y′′+3xy′−3y=3x^(2).
Solve the following nonhomogenous Cauchy-Euler equations for x > 0. a. x^(2)y′′+3xy′−3y=3x^(2).
Find the equation of the tangent line x^2 – 3xy^2 + y^3 = -3 at (2,...
Find the equation of the tangent line x^2 – 3xy^2 + y^3 = -3 at (2, -1)
f(x, y) = 4 + x^3 + y^3 − 3xy (a,b)=(0.5,0.5) u = ( √ 1...
f(x, y) = 4 + x^3 + y^3 − 3xy (a,b)=(0.5,0.5) u = ( √ 1 /2 , − √ 1 /2 ) a) Calculate the rate of change of f along the curve r(t) = (t, t2 ), at t = −1 b)Classify the critical points of f using the second derivative test.
Find dy/dx by implicit differentiation: A.). x^4 + y^3 = 3 B.). 5x^2 +3xy - y^2...
Find dy/dx by implicit differentiation: A.). x^4 + y^3 = 3 B.). 5x^2 +3xy - y^2 =7 C.) x^3(x+y) = y^2(4x-y)
Solve the IVP with Cauchy-Euler ODE: x^2 y''+3xy'+4y=0; y(1)=0, y’(1)=−2
Solve the IVP with Cauchy-Euler ODE: x^2 y''+3xy'+4y=0; y(1)=0, y’(1)=−2
x^2y'' − 3xy'+ 4y = 0 ; y(1)=5 y'(1)=3 differential equation using the Cauchy-Euler method
x^2y'' − 3xy'+ 4y = 0 ; y(1)=5 y'(1)=3 differential equation using the Cauchy-Euler method
x^2y'' − 3xy'+ 4y = 0 ; y(1)=5 y'(1)=3 differential equation using the Cauchy-Euler method
x^2y'' − 3xy'+ 4y = 0 ; y(1)=5 y'(1)=3 differential equation using the Cauchy-Euler method
Consider the equation: x^ 4 + 3xy^3 − y ^4 = 9x^2 y a) find the...
Consider the equation: x^ 4 + 3xy^3 − y ^4 = 9x^2 y a) find the points on the curve where x = 3 b) for each of the points found in pt. a find the slope of tangent line at that point c) for each of the points found in pt. a , write an equation for the tangent line to the curve at that point.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT