Teaching CSIR NET Mock Test Series Mathematical Science Linear Integral Equations Characteristic Numbers and Eigenfunctions
The eigen function of the homogeneous integral equation y(x) = λ\(\int_0^1(2xt-4x^2)y(t)dt\) is
1
y(x) = x + 3x2
2
y(x) = x - 2x2
3
y(x) = sin(x) + cos(x)
4
y(x) = x3 + 2x4