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

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

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

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

Solve the equation (dy)/(dx)=y/(2y1ny+y-x)

Solve the equation (dy)/(dx)=(x^3-2xtan^(-1)y)(1+y^2)

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

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

Solve the differential equation (dy)/(dx)=(1)/(x) .

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

Solve the differential equation (dy)/(dx) = y + int_(0)^(1)y(x)dx , given that the value of y is 1 , when x = 0 .