Resolution of First- and Second-Order Linear Differential Equations with Periodic Inputs by a Computer Algebra System

Joint Authors

Sánchez Ruiz, L. M.
Legua, M.
Morales, I.

Source

Mathematical Problems in Engineering

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2008-10-16

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Civil Engineering

Abstract EN

In signal processing, a pulse means a rapid change in the amplitude of a signal from a baseline value to a higher or lower value, followed by a rapid return to the baseline value.

A square wave function may be viewed as a pulse that repeats its occurrence periodically but the return to the baseline value takes some time to happen.

When these periodic functions act as inputs in dynamic systems, the standard tool commonly used to solve the associated initial value problem (IVP) is Laplace transform and its inverse.

We show how a computer algebra system may also provide the solution of these IVP straight forwardly by adequately introducing the periodic input.

American Psychological Association (APA)

Legua, M.& Morales, I.& Sánchez Ruiz, L. M.. 2008. Resolution of First- and Second-Order Linear Differential Equations with Periodic Inputs by a Computer Algebra System. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-488664

Modern Language Association (MLA)

Legua, M.…[et al.]. Resolution of First- and Second-Order Linear Differential Equations with Periodic Inputs by a Computer Algebra System. Mathematical Problems in Engineering No. 2008 (2008), pp.1-7.
https://search.emarefa.net/detail/BIM-488664

American Medical Association (AMA)

Legua, M.& Morales, I.& Sánchez Ruiz, L. M.. Resolution of First- and Second-Order Linear Differential Equations with Periodic Inputs by a Computer Algebra System. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-488664

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-488664