Final answer:
The Wronskian measures the linear independence of two functions y1 and y2. It can be calculated using the formula W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x).
Step-by-step explanation:
The Wronskian, denoted by W, measures the linear independence of two functions. For two functions y1(x) and y2(x), the Wronskian is calculated as:
W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x)
Let's calculate the Wronskian for y1(x) = Ax^3 + Bx^2 + Cx + D and y2(x) = Ex^3 + Fx^2 + Gx + H:
W(y1, y2) = (Ax^3 + Bx^2 + Cx + D) * (3Ex^2 + 2Fx + G) - (3Ax^2 + 2Bx + C)(Ex^3 + Fx^2 + Gx + H)
This will give you the value of the Wronskian.