Tracing an error in a 2nd order DE solution (MathsCasts)

We solve a non-homogeneous 2nd order constant coefficient ODE with boundary conditions using the Laplace transform method. A check is applied to the solution. The process of solving is then repeated with a deliberate error and it is demonstrated that not all checks can identify the error. We identify the feature that boundary conditions can be more effective than the original ODE in identifying errors.