Question
Differential Equations Question on Differential Equations
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
If a=0, then all the solutions of (**) are unbounded over R
Explanation
Solution
The correct option is (A): If a=0, then all the solutions of (**) are unbounded over R