Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}+\frac{5}{x\left(x^5+1\right)} y=\frac{\left(x^5+1\right)^2}{x^7}, x0$. If $y(1)=2$, then $y(2)$ is equal to [JEE Main 2023, 11 Apr (Shift 2)]

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Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}+\frac{5}{x\left(x^5+1\right)} y=\frac{\left(x^5+1\right)^2}{x^7}, x>0$. If $y(1)=2$, then $y(2)$ is equal to [JEE Main 2023, 11 Apr (Shift 2)]

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Let \(y=y(x)\) be the solution of the differential equation \(\frac{d y}{d x}+\frac{5}{x\left(x^5+1\right)} y=\frac{\lef…

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