Which of the following is the differential equation whose solution is \(y = \alpha sin x + \beta cos x\)
Answer & explanation
Correct answer: option 1
\[y ' = \alpha cos x - \beta sin x\]
\[y '' = -\alpha sin x - \beta cos x\]
$\Rightarrow y' = - y $
$\Rightarrow y'' + y = 0$