" 8."(dy)/(dx)=(x)/(2y+x)

(dy)/(dx)-2y=x

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

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

Solve y^(2)-x(dy)/(dx)=a(y+(dy)/(dx))

Solve : y^(2)-x(dy)/(dx)=a(y+(dy)/(dx))

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

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)