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Differential Equations

JEE Main 2024 (Online) 9th April Evening Shift

MCQ+4 / -12024

Let \(\int_\limits0^x \sqrt{1-\left(y^{\prime}(t)\right)^2} d t=\int_0^x y(t) d t, 0 \leq x \leq 3, y \geq 0, y(0)=0\). Then at \(x=2, y^{\prime \prime}+y+1\) is equal to

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