Linear differential equationsMedium

Integral Equation for Differentiable Function

Let f be a differentiable function such that
2(x + 2)²f(x) – 3(x + 2)² = 10 $\int\limits_0^x {\left( {t + 2} \right)f\left( t \right)dt}$
x ≥ 0. Then f(2) is equal to _____.

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