" 6.(i) "(dy)/(dx)-y=cos x

(dy)/(dx)=cos(x+y)

(dy)/(dx)=cos(x-y)

Solve: (i) sin^(-1)((dy)/(dx))=x+y (ii) (dy)/(dx)=cos(x+y) (iii) (dy)/(dx)=(4x+y+1)^2

(6) (dy)/(dx)cos(x+y)=1

Solve (dy)/(dx)+2y=cos x.

The I.F of (dy)/(dx)-y tan x=cos x is

Solve the differential equation: (i) (1+y^(2))+(x-e^( tan ^(-1)y))(dy)/(dx)=0 (ii) x(dy)/(dx)+cos^(2)y=tan y(dy)/(dx)

x(dy)/(dx)=y-cos((1)/(x))

cos ^ (3) x (dy) / (dx) + y cos x = sin x