Question

Find the Wronskian of the following pair of functions, {3t², 2t}.

A) 0,
B) 6t,
C) 12t²,
D) 4t²

Answer 1

The Wronskian of the given pair of functions {3t², 2t} is 12t².

Step-by-step explanation:

The Wronskian of a pair of functions can be found by evaluating the determinant of a matrix formed by their derivatives. In this case, the pair of functions is {3t², 2t}.

To find the Wronskian, we need to find the derivative of each function:

• The derivative of 3t² is 6t
• The derivative of 2t is 2

Now, we can form the matrix and calculate the determinant:

| 6t 2 |

The determinant of this matrix is 12t². Therefore, the Wronskian of the given pair of functions {3t², 2t} is C) 12t².