JEE Advanced 2018 Paper 2 Mathematics Q10

Mathematics

Problem

Let f : ℝ → ℝ be a differentiable function with f(0) = 0. If y = f(x) satisfies the differential equation dy/dx = (2 + 5y)(5y − 2), then the value of limₓ→−∞ f(x) is _____.

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