Given the following system of strains
Exx = 5+x²+y² + x⁴+y⁴
Eyy = 6 + 3x²+3y² + x⁴+y⁴
Yxy = 10+ 4 xy (x²+y² + 2)
Ezz = Yyz = Yzx = 0
Determine whether the above strain field is possible. If it is possible, determine the displacement components in terms of x and y, assuming that ux = Uy= 0 and Wxy = 0 at the origin.
