If y=y(x) satisfies the differential equation (2+ x) d y d x +(1+y) x=0, y(0)=1 then y (…
Mathematics · JEE Main · NTA Exams — Differential Equations
If \(y=y(x)\) satisfies the differential equation \((2+\sin x) \frac{d y}{d x}+(1+y) \cos x=0, y(0)=1 \text { then } y\left(\frac{\pi}{2}\right) \text { is equal to }\)
- \(1\)
- \(\frac{2}{3}\)
- \(\frac{1}{3}\)
- \(\frac{5}{3}\)
Answer
(C) 1 3
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