Find the streamlines of the velocity field

[mathmari]

Hello!

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??

 

[RaulTheUCSCSlug]

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.