Abstract
We present a generalization of the Riccati method for solving difficult linear differential eigenvalue problems, which allows the differential system to be of either even or odd order. As an example of an odd order problem we use the method to obtain the first four eigenvalues of the Blasius problem, making use of a complex contour of integration to avoid the singularities of the Riccati equation. We also give numerical results for an Orr-Sommerfeld problem which illustrate the efficacy of the Riocati method compared to orthonormalization.
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