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

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

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

Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

Solve the differential equation: (1+y^2)dx=(tan^(-1)y-x)dy

Solve the differential equation: (x+y)(dy)/(dx)=1

Solve the differential equation x (1 + y^2) dx - y (1 + x^2) dy = 0

Solve the differential equation: y\ dx+(x-y^2)dy=0

Solve the differential equation (2 + x) dy = (1 + y) dx

Solve the differential equation: (dy)/(dx)+1=e^(x+y)