A) \[y=ax+b\]
B) \[{{y}^{2}}=ax+b\]
C) \[y=\log x\]
D) \[y={{e}^{x}}+c\]
Correct Answer: A
Solution :
\[\frac{{{d}^{2}}y}{d{{x}^{2}}}=0\] Þ \[\frac{d}{dx}\left( \frac{dy}{dx} \right)=0\] .....(i) Integrating (i) with respect to x, \[\frac{dy}{dx}=a\] ?..(ii) where a is an arbitrary constant Again integrating (ii) with respect to x \[\int{\frac{dy}{dx}dx}=\int{adx+b}\] or \[y=ax+b\], where b is another arbitrary constant.
You need to login to perform this action.
You will be redirected in
3 sec
