Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Integral Equations Resolvent Kernel
For the Volterra type linear integral equation \(\phi \left( x \right) = x + 10 \smallint _0^x{e^{x - \xi }}\phi \left( \xi \right)d\xi \), the resolvent kernel R(x,ξ;10) of the kernel \({e^{x - ξ }}\) is
1
\({(x - \xi )^2}{e^{11\left( {x - \xi } \right)}}\)
2
\(\left( {x - \xi } \right){e^{10({x - \xi })}}\)
3
\({e^{10\left( {x - \xi } \right)}}\)
4
\({e^{11\left( {x - \xi } \right)}}\)
5
Question Not Attempted