The velocity of flow of fluid is represented by the equation: V = 2xi +3yj. The equation
of the stream line passing thr

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1. Given :
   

   The velocity of flow of fluid is represented by the equation: V = 2xi +3yj

   To Find : The equation of the stream line passing through the point (4,3)

   Solution:

   The equation of the stream line

   ux/dx = uy/dy

   or dx/ux = dy/uy

   = dx/x = dy/y

   integrating both sides

   => ln (x) = ln (y) + ln (c)

   => ln (x) = ln (cy)

   => x = cy

   Passes through 4 , 3

   => 4 = 3c

   => c = 4/3

   x = 4y/3

   => 3x = 4y

   => 3x – 4y = 0

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   The equation of the stream line passing through the point (4,3) is

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