Question

Solution of the differential equation x dy/dx + y=0 is........,Select correct option from given options.
(a) eˣʸ=c
(b) y=cx
(c) x=cy
(d) eˣy=c

Answer 1

Given differential equation:

$x\frac{dy}{dx}+y=0$

$x\frac{dy}{dx}=-y$

$\frac{dy}{y}=-\frac{dx}{x}$

$\ln|y|=-\ln|x|+\ln |C|$

$\ln|y|=\ln|C/x|$

$xy=C$

$e^{xy}=c$

Option (a) is right answer

Answer 2

Step-by-step explanation:

option a is correct answer