engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
The differential equation
\(\frac{{{d^2}y}}{{d{x^2}}} + 16y = 0\) For y(x) with the two boundary conditions \({\left. {\frac{{dy}}{{dx}}} \right|_{x = 0}} = 1\;and{\left. {\frac{{dy}}{{dx}}\;} \right|_{x = \frac{\pi }{2}}} = - 1\;\)1
No solution
2
Exactly two solutions
3
Exactly one solution
4
Infinitely many solutions