Question:

Let \(y : (\sqrt{\frac{2}{3}}, ∞) → \R\) be the solution of
(2x − y)y' + (2y − x) = 0,
y(1) = 3.
Then

Updated On: Dec 2, 2024
  • y(3) = 1
  • y(2) = 4 + \(\sqrt{10}\)
  • y' is bounded on (\(\sqrt{2/3}\), 1)
  • y' is bounded on (1, ∞)
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The Correct Option is B, D

Solution and Explanation

The correct option is (B) : y(2) = 4 + \(\sqrt{10}\) and (D) : y' is bounded on (1, ∞).
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