| List I Differential Equation | List II I.F. | ||
| A. | y'+y=sinx | I. | x |
| B. | y'-y=x2 | II. | \(\frac{1}{x}\) |
| C. | \(y'+\frac{1}{x}y=e^x\) | III. | ex |
| D. | \(y'-\frac{1}{x}y=1\) | IV. | e-x |
Let \( f : [1, \infty) \to [2, \infty) \) be a differentiable function. If
\( 10 \int_{1}^{x} f(t) \, dt = 5x f(x) - x^5 - 9 \) for all \( x \ge 1 \), then the value of \( f(3) \) is ______.


