🛠️ JEE➗ Maths

Let \(y=y(x)\) be the solution of the differential equation \(\left({x}^{2}+1\right){y}^{'}-2xy=\left({x}^{4}+2{x}^{2}+1…

Q1

Let \(y=y(x)\) be the solution of the differential

equation \(\left({x}^{2}+1\right){y}^{'}-2xy=\left({x}^{4}+2{x}^{2}+1\right)\cos x\), \(y(0)=1\). Then \({\int }_{-3}^{3}y\left(x\right)dx\) is:

a

\(24\)

b

\(36\)

c

\(30\)

d

\(18\)

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