Question

The velocity of flow of fluid is represented by the equation : v = 2xi +3yj. The equation of the stream line passing through the point (4, 3) is

Answer 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

Learn More:

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

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Answer 2

Explanation:

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