JEE Advanced 2020 Paper 2 Mathematics Q7

Mathematics

Problem

Let b be a nonzero real number. Suppose f : ℝ → ℝ is a differentiable function such that f(0) = 1. If the derivative f′ of f satisfies the equation f′(x) = f(x)/(b² + x²) for all x ∈ ℝ, then which of the following statements is/are TRUE?

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