Question

The number of straight lines which satisfies the differential equation $\frac{dy}{dx}+x{\left(\frac{dy}{dx}\right)}^2-y=0$ is

Answer 1

Answer: 2

As, $y=kx+b;\frac{dy}{dx}=k$
Now given that $kx+b\equiv k+x{k}^2$
Comparing we get, $k=k^2$ and $b=k$
$k=0$ or $k=1\Rightarrow$ result