A) \[\frac{dy}{dx}-x=0\]
B) \[\frac{{{d}^{2}}y}{d{{x}^{2}}}-x\frac{dy}{dx}=0\]
C) \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=0\]
D) \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+x=0\]
Correct Answer: C
Solution :
The equation of all the lines in xy-plane is given by \[y=mx+c\] Differentiate it twice w.r.t. x, we get \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=0\].
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