Determine order and degree (if defined) of differential equations given in $({{\frac{ds}{dt}}^{4}})+3s\frac{{{\partial }^{2}}s}{\partial {{t}^{2}}}=0$
Determine order and degree (if defined) of differential equations given in $({{\frac{ds}{dt}}^{4}})+3s\frac{{{\partial }^{2}}s}{\partial {{t}^{2}}}=0$

The highest order derivative present in the differential equation is  and its order is 1.

The given differential equation is a polynomial equation in derivative and the highest power raised to highest order derivative  is one, so its degree is 1.

Hence, order is 1 and degree is 1.