1. Given the velocity field u = C(x 2 − y 2 )i − 2Cxyj, where C = 1 m −1 s −1 , show that the streaklines are given by the equation x 2 y − y 3 /3 = K where K is a constant. Sketch the streakline...

1. Given the velocity field u = C(x²
− y²)i − 2Cxyj, where C = 1 m⁻¹s⁻¹, show that the streaklines are given by the equation x²y − y³/3 = K where K is a constant. Sketch the streakline through the point (1,1).

2. Sketch the streakline through the origin for the velocity field u = Cxi + C³x(x − 1m)(y + 1m)j, where C = 1 s−1 and the dimensions are in meters.