" 6.(i) "x^(2)dy+(xy+y^(2))dx=0

x^(2)dy+(x^(2)-xy+y^(2))dx=0

y^(2)dx+(x^(2)-xy)dy=0

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

y^(2)dx+(x^(2)+xy+y^(2))dy=0

y^(2) dx + (xy + x^(2) )dy = 0

(3xy+y^(2))dx+(x^(2)+xy)dy=0

(xy - x^2)dy = y^2 dx

Which of the following is a homogeneous differential equation? (A) (4x+6y+5)dy-(3y+2x+4)dx= (B) (xy)dx-(x^(3)+y^(3))dy=0 (C) quad y^(2)dx+(x^(2)-xy-y^(2))dy=0

Find the order and degree,if defined,of each of the following differential equations: ( i ) (dy)/(dx)-cos x=0 (ii) xy(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-y(dy)/(dx)=0 (iii) y''+y^(2)+e^(y')=0