Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Integral Equations Solutions with Separable Kernel
Using the Method of degenerate Kernels, solve the Integral Equation
\(u(x)-\lambda \int_0^1 \log \left(\frac{1}{t}\right)^p u(t) d t=1\)
then u(x) = ?
1
\(\frac{1}{1+\lambda \sqrt{p-1}}\)
2
\(\frac{1}{1+p\lambda}\)
3
\(\frac{1}{1-p\lambda}\)
4
\(\frac{1}{p\lambda-1}\)
5
Question Not Attempted