The velocity components in the x and y directions are given

The velocity components in the x and y directions are given by u = λxy³ – x²y, v = xy² – ( 3 / 4 )y⁴. The value of λ for a possible flow field involving an incompressible fluid is

u = λxy³ – x²y ;	∂u	= λy³ – 2xy
	∂x

v = xy² –	3	y⁴ ;	∂v	= 2xy - 3y³
	4		∂y

For 2D incompressible flow,

	∂u	+	∂v	= 0
	∂x		∂y

⇒ xy³ – 2xy + 2xy - 3y³ = 0
λ = 3