Question

consider the differential equation
y''+ay'+y=sin x for x for xεR. (**) 
then which one of the following is true?

• A. If a=0, then all the solutions of (**) are unbounded over R
• B. If a=1, then all the solutions of (**) are unbounded over (0, ∞).
• C. If a=1, then all the solutions of (**) tend to zero as x→∞
• D. If a=2, then all the solutions of (**) are bounded over (-∞, 0).

Answer 1

The Correct Option is A

The correct option is (A): If a=0, then all the solutions of (**) are unbounded over R