9  Problem class 2

This problem class will involve the completition of the ODE studied in asymptotic approximations III. We will then study the boundary-value problem which forms part of the third problem set, namely: \[ \begin{gathered} \epsilon T'' + 2T' + T = 0, \\ T(0) = 0 \quad \text{and} \quad T(1) = 1. \end{gathered} \] The associated Python note is in lectures/lecture12-SolvingBVPs. You will gain an appreciation for some of the unique elements that are introduced when looking at \(\epsilon \to 0\) in boundary-value problems.