1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of straight lines which satisfies the differential equation (d y/d x)+x((d y/d x))2-y=0 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Differential Equations

Solution:

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