" The solution of "(xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx" is "

Match the following {:(,"List-I",,"List-II",),((1),"The equation of family of curves for which",(a),y+e^(-x) = " c, y " - e^(x) = c,),(,"length of the normal = The radius vector.",,,),((2),"Solution of the differential equation " ((dy)/(dx))^(2) - (dy)/(dx)(e^(x)+e^(-x))+1=0 " is",(b),y = x cot (x+c),),((3),"The solution of " (xdy)/((x^(2)+y^(2))) = ((y)/(x^(2)+y^(2))-1)dx " is",(c),y^(2)+- x^(2) = k^(2),),(,,(d),e^(y)=e^(x)-1,):}

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Solve: (xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx

The solution of (y - (xdy)/dx)= 3 (1-x^(2)(dy)/(dx)) is

The solution of (y-3x^2)dx +xdy=0 is