The second order ODE is,(adsbygoogle = window.adsbygoogle || []).push({});

\begin{equation*}

\frac{d^2 x}{dt^2} = -\omega^2_g \frac{dx}{dt}

\end{equation*}

I tried solving this by substitution of the second order derivative into a variable and transforming the equation into a second order polynomial, and I get the solution involving an exponential. But, the solution includes a sinusoidal function, which I don't know how it got a sinusoidal function.

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# I Can you check the solution for this second order ODE?

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