{"id":4564,"date":"2024-12-18T15:06:49","date_gmt":"2024-12-18T15:06:49","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4564"},"modified":"2024-12-18T15:08:48","modified_gmt":"2024-12-18T15:08:48","slug":"mat-112-2-0-differential-equations","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mat-112-2-0-differential-equations\/","title":{"rendered":"MAT 112 2.0 Differential Equations"},"content":{"rendered":"\n<p><strong>Course:\u00a0\u00a0<\/strong>MAT 112 2.0 Differential Equations (Compulsory)<\/p>\n\n\n\n<p><strong>Course Content<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-left\">Introduction, Basic concepts, Classifications, Qualitative methods, , Initial&nbsp; conditions, Stability, First order differential equations, Linear equations, Separable equations, Exact equations &amp; Integrating factor, Homogeneous equations, The existence &amp; uniqueness theorem, Bernoulli equation, Application of first order differential Equations, Trajectories, Orthogonal trajectories, Self-orthogonal family of curves, Second order linear differential equations, Homogeneous differential equations with constant coefficients, Fundamental solutions, Linear independence of solutions &amp; the Wronskian, Non homogeneous equations, Applications of second order differential equations, System of Simultaneous Differential Equations , Linear system of equations, Linear independence solutions , Infinite-Series Solutions, The method for Frobenius, Introduction to partial differential equations , Introductory concepts, Linear partial differential equations of order one, Homogeneous partial differential equations of higher order with constant coefficients, Non Homogeneous linear equations with constant coefficients.<\/p>\n\n\n\n<p><strong>Recommend Readings:<\/strong><\/p>\n\n\n\n<ol type=\"1\">\n<li>Elementary differential equations &amp; Boundary Value Problems -William E. Boyce, Richards C. Diprima<\/li>\n\n\n\n<li>Schaum\u2019s Solved Problems Series &#8211; Differential Equations<\/li>\n\n\n\n<li>Elementary Differential Equations with Boundary Value Problems William F. Trench, 2013<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Course:\u00a0\u00a0MAT 112 2.0 Differential Equations (Compulsory) Course Content: Introduction, Basic concepts, Classifications, Qualitative methods, , Initial&nbsp; conditions, Stability, First order differential equations, Linear equations, Separable equations, Exact equations &amp; Integrating factor, Homogeneous equations, The existence &amp; uniqueness theorem, Bernoulli equation, Application of first order differential Equations, Trajectories, Orthogonal trajectories, Self-orthogonal family of curves, Second order &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/mat-112-2-0-differential-equations\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 112 2.0 Differential Equations<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4564"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=4564"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4564\/revisions"}],"predecessor-version":[{"id":4569,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4564\/revisions\/4569"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}