Let y = y(x) be the solution of the differential equation x d y d x +y x=4 x, x (0, ) …
Mathematics · JEE Main · NTA Exams — Differential Equations
Let y = y(x) be the solution of the differential equation \(\sin x \frac{d y}{d x}+y \cos x=4 x, x \in(0, \pi)\). If \(y\left(\frac{\pi}{2}\right)=0\), then \(y\left(\frac{\pi}{6}\right)\) is equal to:
- \(-\frac{3}{9} \pi^{2}\)
- \(-\frac{4}{9} \pi^{2}\)
- \(\frac{4}{9 \sqrt{3}} \pi^{2}\)
- \(\frac{-B}{9 \sqrt{3}} \pi^{2}\)
Answer
(B) - 4 9 ^ 2
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