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Linear differential equations with constant coefficients
The second order equation
3 other sections not shown
algebra arbitrary constants axes calculation called Chapter Clarendon Press coefficients column converges coordinates cosine cosine series d2x dx denote diagonal differential equation dx/dt dy dy eigen-values elements ellipse equation of transforms equations dy Examples formula Fourier series Fourier sine series function f(x given gives graph ground plane Hence Hermite polynomials integral Laplace transforms latent roots linear equations linearly independent m-equation Mathematics for Science maxima and minima method multiplying non-singular non-zero solution notation nx dx odd function ordinary point orthogonal orthogonal matrix oscillation Oxford particular solution perpendicular piece-wise smooth polynomial power series problem Proof Prove quadratic form reciprocal scalar sequence Show simultaneous equations sine series single-column matrix singular point solution in series solve square matrix surface symmetric matrix Theorem theory values W. L. Ferrar write zero