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MCQMediumJEE Main 2023 · 11 April, Shift 2Linear Differential Equations

Mathematics Question from JEE Main 2023 · 11 April, Shift 2

Let y=y(x)y = y(x) be the solution of the differential equation dydx+5x(x5+1)y=(x5+1)2x7, x>0.\frac{dy}{dx} + \frac{5}{x(x^5 + 1)}y = \frac{(x^5 + 1)^2}{x^7}, \, x > 0. If y(1)=2y(1) = 2, then y(2)y(2) is equal to:

  • A

    693128\frac{693}{128}

  • B

    637128\frac{637}{128}

  • C

    697128\frac{697}{128}

  • D

    679128\frac{679}{128}

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