xdy-ydx=sqrt(x^(2)+y^(2))dx

If any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C The solution of the differential equation xdy-ydx=sqrt(x^(2)-y^(2))dx is

If any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C The solution of the differential equation xdy-ydx=sqrt(x^(2)-y^(2))dx is

xdy-ydx=2sqrt(y^(2)-x^(2))dx

The solution of the differential equation xdy+ydx-sqrt(1-x^(2)y^(2))dx=0 is (A)sin^(-1)(xy)=C-x(B)xy=sin(x+c)(C)log(1-x^(2)y^(2))=x+c(D)y=x sin x+c

The solution of (xdx+ydy)/(xdy-ydx)=sqrt((1-x^(2)-y^(2))/(x^(2)+y^(2))) is

Solution of differential equation x(xdx-ydy)=4sqrt(x^(2)-y^(2))(xdy-ydx) is

The solution of (xdx+ydy)/(xdy-ydx)=sqrt((a^(2)-x^(2)-y^(2))/(x^2+y^(2))), is given by