MediumCalculusca-033

Divergence of 2D Vector Field

Problem

For the vector field F(x, y) = [a*x^2 + b*x*y, c*x*y + d*y^2], compute its divergence at (x, y):

div F = dP/dx + dQ/dy = (2*a*x + b*y) + (c*x + 2*d*y)

Hint

The divergence of a 2D field is the trace of its Jacobian.

case 1

in: [1,0,0,1,2,3]

expected: 10

case 2

in: [0,1,1,0,1,4]

expected: 5

case 3

in: [1,2,3,4,0,0]

expected: 0

case 4

in: [-1,1,2,-2,2,-1]

expected: 3

Starter codePython

def divergence(a, b, c, d, x, y):
    # Your code here
    pass

4 test cases · run your code against them in the editor