A) \[2\]
B) \[3\]
C) \[4\]
D) \[5/2\]
Correct Answer: B
Solution :
\[\frac{{{d}^{2}}y}{d{{x}^{2}}}=\frac{5y+\frac{dy}{dx}}{\sqrt{{{d}^{2}}y/d{{x}^{2}}}}\] \[{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3/2}}=5y+\frac{dy}{dx}\] Squaring on both sides, \[{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}={{\left( 5y+\frac{dy}{dx} \right)}^{2}}\] So, the degree of given differential equation is 3.
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