" 4."(x-y)dy-(x+y)dx=0

Solve the differential equation : (x+y)dy-(y-x)dx=0 .

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

y -x (dy)/(dx) =0

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

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

If (x+4)y=x , then show that x(dy)/(dx)+y(y-1)=0 .

If y=(x)/(x+4) , prove that x(dy)/(dx)+y(y-1)=0

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