(dy)/(dx)=(y-x+1)/(y+x+5)

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1

If ye^(y)=x, prove that,(dy)/(dx)=(y)/(x(1+y))

y-x(dy)/(dx)=x+y(dy)/(dx)

Solve: y-x(dy)/(dx)=x+y(dy)/(dx)

y^2+x^2(dy)/(dx)=x y(dy)/(dx)

If ye^(y)=x , prove that, (dy)/(dx)=(y)/(x(1+y)) .

If x^(4)y^(5) =(x+y) ^(m+1) and (dy)/(dx) =(y)/(x) ,then m=