8. `dy/dx=tan^2(x+y)

Solve: x+y dy/dx=(a^2((x dy/dx-y))/(x^2+y^2))

Solve the following differential equation: (dy)/(dx)=tan(x+y)

Find dy/dx if tan( x+ y ) = xy

Solve the following initial value problem: (dy)/(dx)=y \ tan2x ,\ y(0)=2

The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-2x y^2, given y(1)=pi/2, is

The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2) , given y(1) = sqrt(pi/2) , is

If y=sqrt(tan x+sqrt(tan x +sqrt(tan x+....oo))) " then prove that " dy/dx = sec^2 x /(2y-1).

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))

Find dy/dx if tan2x=siny