A) \[m=3,\,\,n=3\]
B) \[m=3,\,\,n=2\]
C) \[m=3,\,\,n=5\]
D) \[m=3,\,\,n=1\]
Correct Answer: B
Solution :
The given differential equation can be written as \[\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)-({{x}^{2}}-1)\frac{{{d}^{3}}y}{d{{x}^{3}}}+\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right){{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{5}}+4\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)=0\]Clearly, its order is 3 and degree is 2. \[m=3\]and\[n=2\]You need to login to perform this action.
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