||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
var('x,y,u,v')
v=3*x**2*y-y**3;v
u=x**3-3*x*y**2;u
var('ux,uy')
ux=diff(u,x);ux
uy=diff(u,y);uy
var('vx,vy')
vx=diff(v,x);vx
vy=diff(v,y);vy
if ux==vy&&uy==-vx:
z is analytical
else
z is not analytical
}}}

/* code_ends */

 * '''Solution by''': 
   * <sarada>, <student>, <prakasam>
   * <ananthalakshmi>, <student>, <prakasam>