Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Integral Equations Fredholm and Volterra Integral Equation
If y is a solution of \(y(x)-\int_{0}^{x}(x-t) y(t) d t=1\), then which of the following is true?
1
y is bounded but not periodic in ℝ
2
y is periodic in ℝ
3
\(\int_{\mathbb{R}} y(x) d x<\infty\)
4
\(\int_{\mathbb{R}} \frac{d x}{y(x)}<\infty\)
5
Question Not Attempted