‹ Back to the paper
Answer the following.
The solution of x dy - y dx = 0 represents a family of straight lines passing through the origin…
The solution of $x\,dy - y\,dx = 0$ represents a family of straight lines passing through the origin. Justify.
Answer
Answer
Official answer key$x\,dy - y\,dx = 0$
$\Rightarrow \frac{dy}{y} = \frac{dx}{x}$
$\log y = \log x + \log c$
$\Rightarrow y = cx$ which represents a family of straight lines passing through the origin.