Exactness of Second Order Ordinary Differential Equations and Integrating Factors

A new problem is studied, the concept of exactness of a second order nonlinear ordinary differential equations is established. A method is constructed to reduce this class into a first order equations. If the second order equation is not exact we introduce, under certain conditions, an integrating f...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2014-09
Main Authors: AlAhmad, R, Al-Jararha, M, Almefleh, H
Format: Article
Language:English
Subjects:
Linear equations
Mathematical analysis
Nonlinear differential equations
Nonlinear equations
Ordinary differential equations
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator AlAhmad, R
Al-Jararha, M
Almefleh, H
description A new problem is studied, the concept of exactness of a second order nonlinear ordinary differential equations is established. A method is constructed to reduce this class into a first order equations. If the second order equation is not exact we introduce, under certain conditions, an integrating factor that transform it to an exact one.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2084610503</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2084610503</sourcerecordid><originalsourceid>FETCH-proquest_journals_20846105033</originalsourceid><addsrcrecordid>eNqNjNEKgjAYhUcQJOU7DLoW5qbmfSl1FVH3MvSfTGTL_59Qb59BD9DNOXC-j7NikVQqTcpMyg2LiQYhhCwOMs9VxG7VS7fBARH3ht-h9a7jV-wAv2mdxjc_WWMAwQWrR15Nsw7WO-J6MS8uQI_L4HpeL0ceacfWRo8E8a-3bF9Xj-M5eaKfZqDQDH5Gt6BGijIrUpELpf6zPqskP1o</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2084610503</pqid></control><display><type>article</type><title>Exactness of Second Order Ordinary Differential Equations and Integrating Factors</title><source>Publicly Available Content (ProQuest)</source><creator>AlAhmad, R ; Al-Jararha, M ; Almefleh, H</creator><creatorcontrib>AlAhmad, R ; Al-Jararha, M ; Almefleh, H</creatorcontrib><description>A new problem is studied, the concept of exactness of a second order nonlinear ordinary differential equations is established. A method is constructed to reduce this class into a first order equations. If the second order equation is not exact we introduce, under certain conditions, an integrating factor that transform it to an exact one.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Linear equations ; Mathematical analysis ; Nonlinear differential equations ; Nonlinear equations ; Ordinary differential equations</subject><ispartof>arXiv.org, 2014-09</ispartof><rights>2014. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2084610503?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,37012,44590</link.rule.ids></links><search><creatorcontrib>AlAhmad, R</creatorcontrib><creatorcontrib>Al-Jararha, M</creatorcontrib><creatorcontrib>Almefleh, H</creatorcontrib><title>Exactness of Second Order Ordinary Differential Equations and Integrating Factors</title><title>arXiv.org</title><description>A new problem is studied, the concept of exactness of a second order nonlinear ordinary differential equations is established. A method is constructed to reduce this class into a first order equations. If the second order equation is not exact we introduce, under certain conditions, an integrating factor that transform it to an exact one.</description><subject>Linear equations</subject><subject>Mathematical analysis</subject><subject>Nonlinear differential equations</subject><subject>Nonlinear equations</subject><subject>Ordinary differential equations</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNjNEKgjAYhUcQJOU7DLoW5qbmfSl1FVH3MvSfTGTL_59Qb59BD9DNOXC-j7NikVQqTcpMyg2LiQYhhCwOMs9VxG7VS7fBARH3ht-h9a7jV-wAv2mdxjc_WWMAwQWrR15Nsw7WO-J6MS8uQI_L4HpeL0ceacfWRo8E8a-3bF9Xj-M5eaKfZqDQDH5Gt6BGijIrUpELpf6zPqskP1o</recordid><startdate>20140906</startdate><enddate>20140906</enddate><creator>AlAhmad, R</creator><creator>Al-Jararha, M</creator><creator>Almefleh, H</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20140906</creationdate><title>Exactness of Second Order Ordinary Differential Equations and Integrating Factors</title><author>AlAhmad, R ; Al-Jararha, M ; Almefleh, H</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20846105033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Linear equations</topic><topic>Mathematical analysis</topic><topic>Nonlinear differential equations</topic><topic>Nonlinear equations</topic><topic>Ordinary differential equations</topic><toplevel>online_resources</toplevel><creatorcontrib>AlAhmad, R</creatorcontrib><creatorcontrib>Al-Jararha, M</creatorcontrib><creatorcontrib>Almefleh, H</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>AlAhmad, R</au><au>Al-Jararha, M</au><au>Almefleh, H</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Exactness of Second Order Ordinary Differential Equations and Integrating Factors</atitle><jtitle>arXiv.org</jtitle><date>2014-09-06</date><risdate>2014</risdate><eissn>2331-8422</eissn><abstract>A new problem is studied, the concept of exactness of a second order nonlinear ordinary differential equations is established. A method is constructed to reduce this class into a first order equations. If the second order equation is not exact we introduce, under certain conditions, an integrating factor that transform it to an exact one.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2014-09
issn 2331-8422
language eng
recordid cdi_proquest_journals_2084610503
source Publicly Available Content (ProQuest)
subjects Linear equations
Mathematical analysis
Nonlinear differential equations
Nonlinear equations
Ordinary differential equations
title Exactness of Second Order Ordinary Differential Equations and Integrating Factors
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T17%3A00%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Exactness%20of%20Second%20Order%20Ordinary%20Differential%20Equations%20and%20Integrating%20Factors&rft.jtitle=arXiv.org&rft.au=AlAhmad,%20R&rft.date=2014-09-06&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2084610503%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_20846105033%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2084610503&rft_id=info:pmid/&rfr_iscdi=true