The solution of the differential equatio...

The solution of the differential equation `(sin x + cos x) dy + (cos x-sin x)dx = 0` is-

A

(sin x + cos x )=c

B

`e^y` (sin x + cos x ) =c

C

`e^y` (cos x - sin x ) =c

D

`e^x` (sin x -cos x ) =c

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The solution of the differential equation (dy)/(dx)+y cot x = 2 cos x is

The solution of the differential equation (dy)/(dx) + y cot x=2 cos x is

The solution of the differential equation (dy)/(dx)=x^2+sin3x is

The solution of the differential equation (dy)/(dx) +y/x = sin x is

The solution of the differential equation (dy)/(dx)=x^2 + sin 3x is

The solution of the differential equation (dy)/(dx)=e^x + cos x + x + tan x is

The solution of differential equation cos x dy = y (sin x - y ) dx, 0 lt x lt pi //2 is

The general solution of differential equation (dx) /( dy) = cos (x+y) is

The solution of the differential equation (dy)/(dx)+(1+x^2)/x =0 is

Find the general solutions of the following differential equations. x sin x dy/dx+(x cos x+sin x)y=sin x