" C."(dy)/(dx)=(y)/(x)

if sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=c prove that (dy)/(dx)=(y)/(x)

If sqrt(y+x)+sqrt(y-x)=c show that (dy)/(dx)=(y)/(x)-sqrt(((y^(2))/(x^(2)))-1)

Which of the following is not the differential equation of family of curves whose tangent form an angle of (pi)/(4) with the hyperbola xy=c^(2)?(a)(dy)/(dx)=(x-y)/(x+y)(b)(dy)/(dx)=(x)/(x-y)(c)(dy)/(dx)=(x+y)/(x-y) (d)N.O.T.

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

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

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

Express (dy)/(dx)=(y)/(x+ye^((-2x)/(y))) in the form (dx)/(dy)=F((x)/(y)).

Show that y=c x+a/c is a solution of the differential equation y=x(dy)/(dx)+a/((dy)/(dx))dot

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