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Determine order and degree (if defined) of differential equations given`((d s)/(dt))^4+3s(d^2s)/(dt^2)=0`

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To determine the order and degree of the given differential equation \(\left(\frac{ds}{dt}\right)^4 + 3s\frac{d^2s}{dt^2} = 0\), we will follow these steps: ### Step 1: Identify the highest order derivative The given differential equation contains the following derivatives: - \(\frac{ds}{dt}\) (first order derivative) - \(\frac{d^2s}{dt^2}\) (second order derivative) Among these, the highest order derivative is \(\frac{d^2s}{dt^2}\), which is a second order derivative. ...
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