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Let \(y=y(x)\) be the solution of the differential equation \(\frac{d y}{d x}\) \(=2(y+2 \sin x-5) x-2 \cos x\) such tha…

Q1

Let \(y=y(x)\) be the solution of the differential equation \(\frac{d y}{d x}\) \(=2(y+2 \sin x-5) x-2 \cos x\) such that \(y(0)=7\). Then \(y(\pi)\) is equal to.

[JEE Main 2021, 27 Aug (Shift 1)]

a

\(7 e^{\pi^2}+5\)

b

\(2 e^{\pi^2}+5\)

c

\(3 e^{\pi^2}+5\)

d

\(e^{\pi^2}+5\)

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