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Differential Equations question

2025 · 24 Jan · Shift 1 · Q47

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JEE Main
Mathematics
Differential Equations
2025 · 24 Jan · Shift 1 · Q47

Differential Equations question

2025 · 24 Jan · Shift 1 · Q47

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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