A) (2, 4)
B) (2, 3)
C) (6, 4)
D) (6, 9)
E) (2, 12)
Correct Answer: A
Solution :
Given differential equation can be rewritten as \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{\frac{3}{4}\times 12}}={{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{\frac{1}{3}\times 12}}\] \[\Rightarrow \] \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{9}}={{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{4}}\] Here, we see that order of highest derivative is 2 and degree is 4.
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