A) \[a=0,b=0\]
B) \[a=1,b=2\]
C) \[a=0,b\ne 0\]
D) \[a=2,b=1\]
E) \[a=-2,b=-1\]
Correct Answer: C
Solution :
The given differential equation is \[\frac{dy}{dx}=\frac{ax+h}{by+k}\] On integrating both sides. \[\int{(by+k)dy}=\int{(ax+h)}\,dx\] \[\Rightarrow \] \[\frac{d{{y}^{2}}}{2}+ky=\frac{a{{x}^{2}}}{2}+hx+c\] Thus, above equation represents a parabola, if \[a=0\]and \[b\ne 0\]You need to login to perform this action.
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