solve u= tan^-1 [(x^3+y^3)/(x-y)] EULERS PARTIAL DERIVATIVE

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solve z homogeneous function degree n show x^2Ә^2u/Әx^2 + y^2Ә^2u/Әy^2+2xy^2u/Әx Әy =n(n-1)z - • ST x^2Ә^2u/x^2+y^2Ә^2u...
If u=x/(y+z)+y/(x+z)+z/(x+y) prove xӘu/Әx+yӘu/Әy+zӘu/Әz=0- • u=x/(y+z)+y/(x+z)+z/(x...
If u=sin^-1(x^3+y^3+z^3)/(x+y+z) prove xӘu/Әx+yӘu/Әy+zӘu/Әz = 2 tanu- • u=sin^-1(x^3+y^3+z^3)/...
If u=sin^-1(x/y) + tan^-1(x/y) prove xӘu/Әx+yӘu/Әy=0 - • u=sin^-1(x/y) + tan^-1...
If u=log[(x^4+y^4)/(x+y)] prove xӘu/Әx+yӘu/Әy=3 - • u=log[(x^4+y^4)/(x+y)]...
If v=cos^-1(x+y)/(x^1/2+y^1/2) prove xӘu/Әx+yӘu/Әy+1/2cotv=0 - • EULERS PARTIAL DERIVAT...
If u=tan^-1(x^3+y^3)/(x-y) prove xӘu/Әx+yӘu/Әy = sin2u- • EULERS PARTIAL DERIVAT...
Use Eulers theorem for z=x^2+y^2+2xy to prove xӘz/Әx+yӘz/Әy=2z - • Use Eulers theorem for...
If (i) z=xyf(y/x) (ii) f(x,y)=1/(x^3)+1/(y^3)+1/(x^3+y^3) prove for eulers - • If (i) z=xyf(y/x) (ii...
If (i) u=f(y/x) (ii) u=y^2log(x/y) prove for eulers - • (i) u=f(y/x) (ii) u=y...
solve u= cosec^-1 [(x^1/2+y^1/2)/(x^1/3+y^1/3)]- • solve u= cosec^-1 [(x^...
solve u= tan^-1 [(x^3+y^3)/(x-y)]- • solve u= tan^-1 [(x^3+...