If `y=x*tany," then: "(dy)/(dx)=`

If secx+tany=1," then "((dy)/(dx)) at the origin is

If (cosx)^y=(tany)^x , prove that (dy)/(dx)=(logtany+ytanx)/(logcosx-xsecy cos e c\ y)

If tany = (2t)/(1-t^2) and sin x = (2t)/(1+t^2) then (dy)/(dx) =_____

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

Solve the differential equations : tany.(dy)/(dx)=cos(x+y)+cos(x-y)

Solution of the differential equation tany (dy)/(dx)=sin(x+y)+sin(x-y) is -

If dx/dy=2^(tany) sec^2y , then x is equal to (A) 2^(tany)/log2+C (B) 2^(tany)+C (C) tany+C (D) none of these

If dx/dy=2^(tany) sec^2y , then x is equal to (A) 2^(tany)/log2+C (B) 2^(tany)+C (C) tany+C (D) none of these