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-n 12 3 re The Wronskian of {x?,x?} ed Select one: 5 out of question éminy b. 3. 2. inn C. 5 2 3 0

Answer :

Final answer:

The Wronskian of x₁ and x₂ is given by the formula: W(x₁, x₂) = x₁'x₂ - x₁x₂'

Explanation:

The Wronskian is a mathematical concept used to determine the linear independence of a set of functions. In this case, we are given the Wronskian of two functions, x₁ and x₂. The Wronskian of x₁ and x₂ is given by the formula:

W(x₁, x₂) = x₁'x₂ - x₁x₂'

where x₁' and x₂' represent the derivatives of x₁ and x₂, respectively.

To find the value of the Wronskian, we need to differentiate x₁ and x₂ and substitute the values into the formula. Let's assume x₁ = f(x) and x₂ = g(x).

Let's differentiate x₁ and x₂:

  • x₁' = f'(x)
  • x₂' = g'(x)

Substituting these values into the formula, we get:

W(x₁, x₂) = f'(x)g(x) - f(x)g'(x)

Now, we can evaluate the Wronskian using the given functions x₁ and x₂.

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