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Polar complex question, similtaneous equations

  • Thread starter fredrick08
  • Start date
  • #1
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Homework Statement


x=r*cos(theta) y=r*sin(theta)
Ur=Ux*cos(theta)+Uy*sin(theta)
Utheta=-Ux*r*sin(theta)+Uy*r*cos(theta)
Vr=Vx*cos(theta)+Vy*sin(theta)
Vtheta=Vy*r*sin(theta)+Vx*r*cos(theta)

cauchy rieman equations, Ux=Vy Uy=-Vx and for polar Ur=(Vtheta)1/r Vr=(Utheta)(-1/r)

show that Ux=Ur*cos(theta)-1/r*Utheta*sin(theta) and Vx=Vr*cos(theta)-1/r*Vtheta*sin(theta)

The Attempt at a Solution


I got told i need to use simultaneous equations.. ive tried soo amny times but all i get is Ux=Ux 0=0 or 1=1.... please can someone put me on the right track
 

Answers and Replies

  • #2
376
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ok i can work backwards form the answer, and see that is is correct... but i dont know how to show Ux and Vx from what i have got.
 
  • #3
376
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anyone?
 

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