MediumCalculusca-127

Wronskian Value

Problem

The Wronskian of f = e^(r1*x) and g = e^(r2*x) is W = f*g' - f'*g = (r2 - r1) * e^((r1 + r2)*x).

Given the two rates and x, return W(x). Two equal rates make the functions linearly dependent and give 0.

Hint

A nonzero Wronskian witnesses linear independence of the two solutions.

case 1

in: [1,2,0]

expected: 1

case 2

in: [1,2,1]

expected: 20.085536923187668

case 3

in: [-1,-2,2]

expected: -0.0024787521766663585

case 4

in: [1,1,5]

expected: 0

case 5

in: [0,3,1]

expected: 60.256610769563004

Starter codePython

def wronskian_exp(r1, r2, x):
    # Your code here
    pass

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