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Differential Equations question

2018 · Shift 2 · Q28

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JEE Advanced
Mathematics
Differential Equations
2018 · Shift 2 · Q28

Differential Equations question

2018 · Shift 2 · Q28

JEE AdvancedMathematicsDifferential EquationsNumerical+3 / −1

Let f : R

\to

R be a differentiable function with f(0) = 0. If y = f(x) satisfies the differential equation

{{dy} \over {dx}} = (2 + 5y)(5y - 2)

, then the value of

\mathop {\lim }\limits_{n \to - \infty } f(x)

is ...........

Numerical answer

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