Question

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

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (B)

$y=kx+b;\frac{dy}{dx}=k\Rightarrow kx+b\equiv k+x^2\Rightarrow k=k^2\&b=k$
$k=0\text{ or }k=1\Rightarrow \text{ result }$