Jeeify
MCQMediumJEE Main 2025 · 4 April, Shift 2Linear Differential Equations

Mathematics Question from JEE Main 2025 · 4 April, Shift 2

If a curve y=y(x)y = y(x) passes through the point (1,π2)\left(1, \frac{\pi}{2}\right) and satisfies the differential equation

(7x4cot⁡y−excsc⁡y)dxdy=x5,x≥1(7x^4 \cot y - e^x \csc y) \frac{dx}{dy} = x^5, \quad x \geq 1

then at x=2x = 2, the value of cos⁡y\cos y is:

  • A

    2e2−e64\frac{2e^2 - e}{64}

  • B

    2e2+e64\frac{2e^2 + e}{64}

  • C

    2e2−e128\frac{2e^2 - e}{128}

  • D

    2e2+e128\frac{2e^2 + e}{128}

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Linear Differential Equations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Linear Differential Equations

Related questions