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Differential Equations question

2024 · 9 Apr · Shift 2 · Q34

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JEE Main
Mathematics
Differential Equations
2024 · 9 Apr · Shift 2 · Q34

Differential Equations question

2024 · 9 Apr · Shift 2 · Q34

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

\int\limits_0^x \sqrt{1-\left(y^{\prime}(t)\right)^2} dt=\int_0^x y(t) dt, 0 \leq x \leq 3, y \geq 0, y(0)=0

. Then at

x=2, y^{\prime \prime}+y+1

is equal to

A
$\sqrt2$
B
2
C
1/2
D
1

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