Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Ordinary Differential Equations
Consider the differential equation y′′ + ay′ + y = sin x for x ∈ R. (∗∗)
Then which one of the following is true?
1
If a = 0, then all the solutions of (∗∗) are unbounded over R.
2
If a = 1, then all the solutions of (∗∗) are unbounded over (0, ∞).
3
If a = 1, then all the solutions of (∗∗) tend to zero as x → ∞.
4
If a = 2, then all the solutions of (∗∗) are bounded over (−∞, 0).