Teaching CSIR NET Mock Test Series Mathematical Science Ordinary Differential Equations Diff equation with constant Coefficient
The positive values of λ for which the equation y″(x) + λ2 y(x) = 0 has non-trivial solution satisfying y(0) = y(π) and y′(0) = y′(π) are
1
\(\rm \lambda=\frac{2 n+1}{2}, n=1,2, \ldots\)
2
λ = 2n, n = 1, 2, …
3
λ = n, n = 1, 2, …
4
λ = 2n – 1, n = 1, 2, …