Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Ordinary Differential Equations Green’s Function
Let us consider the differential equation \(d^2y\over dx^2\) = f(x), y(0) = y(1) = 0 if G(x, s) be the greens function then which of the following is correct
1
G(x, s) = G(s, x) for all x and s.
2
G(x, s) = G(s, x) for some x and s.
3
G(x, s) = - G(s, x) for all x and s.
4
G(x, s) = - G(s, x) for some x and s.