Teaching CSIR NET Mock Test Series Mathematical Science Linear Integral Equations Solutions with Separable Kernel
The value of λ for which the integral equation
\(y(x)=\lambda \displaystyle \int_0^1 x^2 e^{x+t} y(t) d t\)
has a non-zero solution, is
1
\(\frac{4}{1+e^2}\)
2
\(\frac{2}{1+e^2}\)
3
\(\frac{4}{e^2-1}\)
4
\(\frac{2}{e^2-1}\)