Advanced Engineering MathematicsThis text aims to provide students in engineering with a sound presentation of post-calculus mathematics. It features numerous examples, many involving engineering applications, and contains all mathematical techniques for engineering degrees. The book also contains over 5000 exercises, which range from routine practice problems to more difficult applications. In addition, theoretical discussions illuminate principles, indicate generalizations and establish limits within which a given technique may or may not be safely used. |
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a₁ arbitrary b₁ boundary conditions c₁ c₂ characteristic equation characteristic values characteristic vectors coefficients column complete solution complex numbers constant corresponding cosh critical point curve defined definition deflection derivatives determine displacement elements equal Example expression factor first-order formula Fourier series Fourier transform given Green's function Hence Hint homogeneous infinite interval inverse k₁ Laplace transform linear combination linear differential equation linear system linear transformation linearly independent M₁ matrix multiplied natural frequencies nonhomogeneous obtain orthogonal parameters partial differential equations particular integral particular solutions periodic function polynomial problem properties real numbers roots satisfy scalar shaft Show shown in Fig sinh solve steady-state string substitution temperature Theorem tion trajectories V₁ variable vector space velocity verify wronskian x₁ x²y y₁ zero ηπί ди