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

At any point (x, y); the velocity, v is given by: v = 2xi + 3yj

At point (4, 3); v = 8i + 6j

So, slope of the velocity vector at (4, 3) = (6 / 8) = (3 / 4).

Therefore, equation of the stream passing through (4, 3):

(y - 3) / (x - 4) = (3 / 4)

4y - 12 = 3x - 12

3x - 4y = 0

Answer 2

Answer:

At any point (x, y); the velocity, v is given by: v = 2xi + 3yj

At point (4, 3); v = 8i + 6j

So, slope of the velocity vector at (4, 3) = (6 / 8) = (3 / 4).

Therefore, equation of the stream passing through (4, 3):

(y - 3) / (x - 4) = (3 / 4)

4y - 12 = 3x - 12

3x - 4y = 0