Categories > diff-equation > Order and degree of differential equations > If m and n are the order and degree of the differential equation ${{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{5}}+4\frac{{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}}{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}+\frac{{{d}^{3}}y}{d{{x}^{3}}}={{x}^{2}}-1$, then

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Question: If m and n are the order and degree of the differential equation ${{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{5}}+4\frac{{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}}{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}+\frac{{{d}^{3}}y}{d{{x}^{3}}}={{x}^{2}}-1$, then


1) m = 3 and n = 5
2) m = 3 and n = 1
3) m = 3 and n = 3
4) m = 3 and n = 2
Solution: Explanation: No Explanation
Order and degree of differential equations

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