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Homework Help: Find the streamlines of the velocity field

  1. Jun 6, 2015 #1

    I have to find the streamlines of the following velocity fields:

    1. u=x(1+2t), v=y
    2. u=xy, v=0

    I have done the following:

    1. ##\frac{dx}{u}=\frac{dy}{v} \Rightarrow \frac{dx}{x(1+2t)}=\frac{dy}{y} \Rightarrow \frac{\ln x}{1+2t}=\ln y+c \Rightarrow y=Ce^{\frac{\ln x}{1+2t}} \Rightarrow y=Cx^{\frac{1}{1+2t}}##

    Is this correct??

    2. ##\frac{dx}{u}=\frac{dy}{v} \Rightarrow \frac{dx}{xy}=\frac{dy}{0}##

    How could we continue??
  2. jcsd
  3. Jun 7, 2015 #2


    User Avatar
    Gold Member

    Sorry I can't help you but any homework problems must use the homework template! It will look neater, and is one of the rules of the forum.
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