Question

The solution of $\frac{dy}{dx}=\frac{ax+b}{cy+d}$ represents a parabola if

• A. a = 1, c = 2
• B. a = 0, c = 1
• C. a = 1, c = 1
• D. a = –1, c = 1

Answer 1

The correct option is B a = 0, c = 1

$(cy+d)dy=(ax+b)dx\Rightarrow \frac{c{y}^2}{2}+dy=\frac{a{x}^2}{2}+bx+k$
It represents a parabola if $c=0,a\ne 0$ or $a=0,c\ne 0$.