JEE Mains · Maths · STD 12 - 9. differential equations
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 ______.
- A 20
- B 19
- C 18
- D 17
Answer & Solution
Correct Answer
(B) 19
Step-by-step Solution
Detailed explanation
\(2(x+2)^2 f(x)-3(x+2)^2=10 \int_0^x(t+2) f(t) d t\) Differentiating both side…
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