The following stress function

$=C_{1}xy+C_2\frac{x^3}{6}+C_3\frac{x^{3}y}{6}+C_4\frac{x{y}^3}{6}+C_5\frac{x^3{y}^3}{9}+C_6\frac{x{y}^5}{20}$

is proposed to solve the problem of a cantilever beam carrying at uniformly varying loading as shown in the following figure. Explicitly verify that this stress function will satisfy all conditions on the problem and determine each of the constants $C_i$ and resulting stress field. Use resultant force

boundary conditions at the beam$-$ends

Solve and show all steps and derivations please