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

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

a)Equation of family of circles touching the y -axis at origin is x^2+y^2-2 a x=0 Find the differential equation of all circles b) Solve the differential equation (1+x^2) (dy)/(dx)+y=tan ^-1x

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

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

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

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

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 − (tan^(−1) y − x) dy = 0