<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>volume 14,issue 9,</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>September 2025</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2025</Year> <Month>09</Month> <Day>10</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>SOLUTION OF NON-LINEAR RICCATI EQUATION USING LAPLACE TRANSFORM AND COMPARISON OF SOLUTIONS GRAPHICALLY</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>1</FirstPage> <LastPage>9</LastPage> <AuthorList> <Author> <FirstName>VIJAY KUMAR MEHTA</FirstName> <LastName/> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>In this paper, we have used Laplace transform-homotopy pertur bation method (LT-HPM) to solve non-linear Riccati equation. Figures of exact solution and approximate solution by this method is drawn and also compared with solution calculated by another method.</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords>Laplace transform, homotopy perturbation method, Riccati equation.</Keywords> <URLs> <Abstract>https://www.ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=15961&title=SOLUTION OF NON-LINEAR RICCATI EQUATION USING LAPLACE TRANSFORM AND COMPARISON OF SOLUTIONS GRAPHICALLY</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>