Mathematics · Calculus of Variations
Consider the problem of extremising the functional J(y) = ∫ 1 3 y(3x - y) dx with boundary conditions y(1) = 1 and y(3) = 2. Which of the following statements is true?
- 1There are no extremals✓
- 2y(x) = x 2 + 1 2 is an extremal
- 3y(x) = 3x 2 is an extremal
- 4There is a unique extremal
Correct answer
There are no extremals
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