## Fourier Series and Partial Differential Equations: A Programmed Course for Students of Science and Technology |

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2irx 2ttx 3irx 3ttx 5ttx answer frame b2 sin 2x b3 sin 3x boundary conditions calculating the coefficients Calus constant cosh kci cosh ky Cosine series defined dx n tt evaluate Find a solution Find the Fourier formula Fourier sine series FRAME 25 FRAME 34 continued FRAME l6 function f(x gives graph half-range Fourier series half-range Fourier sine Harmonic Analysis LOUGHBOROUGH UNIVERSITY Maclaurin series mean value method Miscellaneous Examples mx cos nx mx+nt nirx nx dx odd function odd harmonics ordinary differential equation oscillations partial differential equations period 2tt periodic function programme represent satisfies the equation separation of variables SERIES AND PARTIAL series for f(x shown sine terms sinh kci string temperature trial solution trigonometric tt tt value of f(x voltage waveform write zero