Question

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

• A. y(3) = 1
• B. y(2) = 4 + $\sqrt{10}$
• C. y' is bounded on ($\sqrt{2/3}$, 1)
• D. y' is bounded on (1, ∞)

Answer 1

Answer: (B), (D)

y(2) = 4 + $\sqrt{10}$

Answer 2

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