dx/ x² + a² = dy / xy -az= dz / xz + ay( Using multipliers )

Dear Student,
Using the multiplier theory we can write
          Dx/x^2+a^2 = dy/xy-az=dz/xz+ay= ldx+mdy+ndz/l(x^2+a^2)+m(xy-az)+ n(xz+ay)
         Letting (l,m,n)= (-y,x,a) solves the first part of the problem giving us,
       -ydx + xdy + adz=0 
Further integerating it with exact integerls:
we get,
xy + az = 0.