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Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: `(d^3x)/(dt^3)+(d^2x)/(dt^2)+((dx)/(dt))^2=e^t`

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Order: Order of the highest order derivative.

Hence, order=`3`

Degree: highest exponent of the highest order derivative

Hence, degree=`1`
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