Let f : (0, ∞) → R be a differentiable function such that f^ (x)=2- f(x) x for all x ∈…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
Let f : (0, ∞) → R be a differentiable function such that \(f^{\prime}(x)=2-\frac{f(x)}{x}\) for all x ∈ (0, ∞) and f(1) ≠ 1. Then
- |f(x)| ≤ 2 for all x ∈ (0, 2)
Answer
(A)
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