A) \[\frac{dy}{dx}=\cos x\]
B) \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+y=0\]
C) \[dx+dy=0\]
D) \[x\frac{dy}{dx}+\frac{3}{\frac{dy}{dx}}={{y}^{2}}\]
Correct Answer: D
Solution :
\[x\frac{dy}{dx}+\frac{3}{(dy/dx)}={{y}^{2}}\] Þ \[x{{\left( \frac{dy}{dx} \right)}^{2}}-{{y}^{2}}\frac{dy}{dx}+3=0\] Hence it is a non-linear differential equation.
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