" 2."(dy)/(dx)cos(x-y)=1

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

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

The solution of the differential equation x^(2)(dy)/(dx)cos((1)/(x))-y sin((1)/(x))=-1, where y rarr-1 as x rarr oo 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)

If cos y = x cos (a + y) with cos a != +- 1 . Prove that (dy)/(dx)=cos^2(x+a)/sina

1+(dy)/(dx)=cos(x+y), where x+y=u

1+(dy)/(dx)=cos(x+y), where x+y=u

The solution of the differential equation (x^(2)dy)/(dx)cos((1)/(x))-y sin((1)/(x))=-1, where y rarr las x rarr oo is (A) y=sin((1)/(x))+cos((1)/(x))(B)y=(x+1)/(x sin((1)/(x))) (C) y=sin((1)/(x))-cos((1)/(x))(D)y=(x)/(x cos((1)/(x)))

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