{"doi":"10.31219/osf.io/egxk7","title":"General Solution Of Nth-Order Linear Ordinary Differential Equation With Constant Coefficients","abstract":"<p>In this paper we present a formula for the general solution of Nth-order linear ordinary differential equation with constant coefficients as our main result. In this regard we also present two supporting results in this paper which reduce the order of the concerned differential equation by one and give the relation between the coefficients of the initial differential equation and the differential equation obtained. We also discuss about the complementary solution and homogeneous equations with regard to the main result described in this paper.</p>","journal":"OSF Preprints (OSF Preprints)","year":null,"id":21481,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":138158,"name":"Rajnish Kumar Jha","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21071399","pmcid":null,"openalex_id":"https://openalex.org/W4253467784","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.32312849,"influential_citations":0,"citation_trend":[],"oa_status":"gold","license":"public-domain","oa_locations":[{"url":"https://osf.io/egxk7/download","host_type":""},{"url":"https://osf.io/egxk7/download","host_type":""},{"url":"https://doi.org/10.31219/osf.io/egxk7","host_type":""},{"url":"https://osf.io/egxk7","host_type":"repository"},{"url":"http://doi.org/10.31219/OSF.IO/EGXK7","host_type":"repository"}],"fields_of_study":["Differential Equations and Numerical Methods","Numerical methods for differential equations","Differential Equations and Boundary Problems","Mathematics"],"mesh_terms":[],"keywords":["Homogeneous differential equation","Mathematics","Linear differential equation","Exact differential equation","Constant coefficients","Differential equation","Ordinary differential equation","Bernoulli differential equation","Mathematical analysis","Constant (computer programming)","Universal differential equation","First-order partial differential equation","Order (exchange)","Riccati equation","Homogeneous","Hill differential equation","Integrating factor","Differential algebraic equation","Computer science","Combinatorics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-06T16:02:14.119835Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}