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Differential Equations

JEE Main 2025 (Online) 24th January Morning Shift

INTEGER+4 / -12025

Let $f$ be a differentiable function such that $2(x+2)^2 f(x)-3(x+2)^2=10 \int_0^x(t+2) f(t) d t, x \geq 0$. Then $f(2)$ is equal to ________ .

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