We then have the following expression for dimensionless displacement ,

(11.8)

We then obtain the derivative of with respect to

Which we use in equation 11.4a, to produce,

(11.9)

Integration of 11.9 and the use of boundary condition at at yields,

(11.10)

Furthermore, the boundary condition at yields,

(11.11)

Equation 7.11 after re-arrangement generates,

	(11.12)

Solution for equation is obtained as,

(11.13)