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Which of the following is the differential equation whose solution is \(y = \alpha sin x + \beta cos x\) |
y'' +y = 0 y" -y = 0 y' + y = 0 y'' + y' = 0 |
y'' +y = 0 |
\[y ' = \alpha cos x - \beta sin x\] \[y '' = -\alpha sin x - \beta cos x\] $\Rightarrow y' = - y $ $\Rightarrow y'' + y = 0$ |
