Elasticity problem to find displacements

Hello all I have an elasticity problem. Strains (ex ey ez ) are defined as symbolic below. And I have u v z which is the general displacement field depends on x y z like u(x y z)... according to elasticity strain and displacemnt relations; ex=diff(u,x), ey=diff(v,y) , ez=diff(w,z), exy=1/2(diff(u,y)+diff(v,x) exz=1/2(diff(u,z)+diff(w,x) , eyz=1/2(diff(y,z)+diff(w,z). So I need to find u v and w as symbolic from ex ey and ez, exy eyz exz. I tried dsolve but gave error

ez =

(g*ro*z)/E

>> ex=-(v*g*ro*z)/E

ex =

-(g*ro*v*z)/E

>> ey=ex

ey =

-(g*ro*v*z)/E

>> exy=0

exy =

     0
eyz =

     0

exz =

     0
>> eq=[diff(u,x)==ex ; diff(v,y)==ey ; diff(w,z)==ez]

>> dsolve(eq) Error using symfun/subsref (line 141) Symbolic function expected 3 inputs and received 1.

[Tamir Suliman]

Can you please format and explain your question to better help ? and if you could also provide the logic and the equations used.

[ozgun sen]

e=1/2(∇u+∇uT) So I have e and try to find u