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
(A) 0.72x = y1/2
(B) y/3 = 0.72x
(C) 0.72x2 = y1/2
(D) None of these
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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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Step-by-step explanation:
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