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Differential equations and infinite series

af Ole Christensen

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The book is written for the course Advanced Engineering Mathematics 2 at the Technical University of Denmark. Longer proofs are placed in an Appendix, so the book can be used as well in a practically oriented course as in a more theoretically oriented course. The presentation requires a solid knowledge...

of calculus, linear algebra, and differential equations of first- and second order.

The main topics are:

• Differential equations of nth order;

• Systems of differential equations of first order;

• Transfer functions;

• Stability;

• Nonlinear differential equations;

• Infinite series with constant terms;

• Infinite series with variable terms;

• Power series; • Fourier series;

• Solution of differential equations using power series;

• Solution of differential equations using Fourier series;

• The Fourier transform.

The book also contains a large collection of exercises and an appendix with Maple commands.

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Differential equations and infinite series

Differential equations and infinite series

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