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

Solve the differential equation ( x + y) dy + (x - y) dx = 0 ; given that y = 1 when x = 1.

Solve the differential equation y dx = (x + y^(2))dy ( y ne 0) .

solve the differential equation (1+x^2)dy/dx=x

Solve the differential equation (x dy - y dx) y sin ((y)/(x)) = (y dx + x dy) x cos ((y)/(x)) .

Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .

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

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

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

Solve the following differential equations : x(1+y^2)dx+y(1+x^2)dy=0,at, x=0,y=1

The solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is -