A) \[{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{^{2}}}+{{x}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}=0\]
B) \[y=\frac{dy}{dx}+\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}\]
C) \[\frac{dy}{dx}+\frac{y}{x}=\log x\]
D) \[y\frac{dy}{dx}-4=x\]
Correct Answer: C
Solution :
\[\frac{dy}{dx}+\frac{y}{x}=\log x\] is a linear differential equation.
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