A) 3
B) 4
C) 5
D) 2
Correct Answer: C
Solution :
Given differential equation is \[{{\left( 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right)}^{2/3}}=\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)\] \[\Rightarrow \] \[{{\left( 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right)}^{2}}={{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}\] Now, Order = n = 2 Degree = \[m=3\] Then, \[\frac{m+n}{m-n}=\frac{3+2}{3-2}=5\]
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