Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Ordinary Differential Equations Green’s Function
Which of the following is the Green's function of the BVP u'' + λx = x, u(0) = u(π/2) = 0?
1
\(\begin{cases}x(1-\frac{2t}{\pi}); 0\leq x
2
\(\begin{cases}x(1-\frac{2t}{\pi}); x>t\\(1-\frac{2x}{\pi})t; x>\frac{\pi}{2}\end{cases}\)
3
\(\begin{cases}x(1-\frac{2t}{\pi}); 0\leq x
4
\(\begin{cases}x(1-\frac{2t}{\pi}); 0\leq x