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

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

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

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

Solve the differential equations: (dy)/(dx)=(4x+y+1)^2

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

Find the general solution of the differential equation: ((dy)/(dx)) + sqrt((1-y^2)/(1-x^2)) = 0

Differential equation (dy)/(dx)=f(x)g(x) can be solved by separating variable (dy)/g(y)=f(x)dx. Solution of the differential equation (dy)/(dx)+(1+y^(2))/(sqrt(1-x^(2)))=0 is