Find value of `dy/dx = y/x + tan y/x`

Find dy/dx if y= x-y-2x^2 .

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

Find dy/dx if y= x(5-x)

Find dy/dx if y = e^x/x

if y^x-x^y=1 then the value of (dy)/(dx) at x=1 is

Find dy/dx if y= x.e^x

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

Find dy/dx , if y = (1 - tan^2x)/(1 + tan^2x) .

Find dy/dx if y = sin( x+y )

If x^(y). y^(x)=16 , then the value of (dy)/(dx) at (2, 2) is