Answer:
Given, \[\frac{4{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}}{\frac{{{d}^{3}}y}{d{{x}^{3}}}}+\frac{{{d}^{3}}y}{d{{x}^{3}}}={{x}^{2}}-1\] \[\Rightarrow \] \[4{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}+{{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{2}}=({{x}^{2}}-1)\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)\] \[\therefore \]Order of differential equation (m) = 3 and degree of differential equation (n) = 2
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