A) \[\frac{{{d}^{4}}y}{d{{x}^{4}}}+8\,\,{{\left( \frac{dy}{dx} \right)}^{6}}+5y={{e}^{x}}\]
B) \[5\,\,{{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{4}}+8\,\,{{\left( 1+\frac{dy}{dx} \right)}^{2}}+5y={{x}^{8}}\]
C) \[{{\left[ {{\left( 1+\frac{dy}{dx} \right)}^{3}} \right]}^{2/3}}=4\,\,\frac{{{d}^{3}}y}{d{{x}^{3}}}\]
D) \[y={{x}^{2}}\frac{dy}{dx}+\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}\]
E) None of these
Correct Answer: C
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