{"id":221,"date":"2025-10-16T11:40:22","date_gmt":"2025-10-16T11:40:22","guid":{"rendered":"https:\/\/www.abdullahaydemir.com.tr\/?p=221"},"modified":"2025-10-16T11:40:22","modified_gmt":"2025-10-16T11:40:22","slug":"direct-general-solution-of-riccati-differential-equations-with-constant-coefficients","status":"publish","type":"post","link":"https:\/\/www.abdullahaydemir.com.tr\/?p=221","title":{"rendered":"Direct General Solution of Riccati Differential Equations with Constant Coefficients"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"729\" height=\"1024\" src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/001-729x1024.jpg\" alt=\"\" class=\"wp-image-222\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/001-729x1024.jpg 729w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/001-214x300.jpg 214w, 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src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/009-733x1024.jpg\" alt=\"\" class=\"wp-image-230\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/009-733x1024.jpg 733w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/009-215x300.jpg 215w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/009-768x1073.jpg 768w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/009.jpg 951w\" sizes=\"(max-width: 733px) 100vw, 733px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"727\" height=\"1024\" src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/010-727x1024.jpg\" alt=\"\" class=\"wp-image-231\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/010-727x1024.jpg 727w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/010-213x300.jpg 213w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/010-768x1082.jpg 768w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/010.jpg 968w\" sizes=\"(max-width: 727px) 100vw, 727px\" \/><\/figure>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/Sabit-Katsayili-Riccati-Denklemi1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Sabit Katsay\u0131l\u0131 Riccati Denklemi1 g\u00f6m\u00fcs\u00fc.\"><\/object><a id=\"wp-block-file--media-a098a545-6879-4b79-a641-9b2b3496a73b\" href=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/Sabit-Katsayili-Riccati-Denklemi1.pdf\">Sabit Katsay\u0131l\u0131 Riccati Denklemi1<\/a><a href=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2025\/10\/Sabit-Katsayili-Riccati-Denklemi1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-a098a545-6879-4b79-a641-9b2b3496a73b\">\u0130ndir<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In our study, we express and prove a theorem on the direct general solution of the Riccati<br \/>\ndifferential equations with constant coefficients.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19,28,33,32],"tags":[20,30,35,34],"class_list":["post-221","post","type-post","status-publish","format-standard","hentry","category-diferansiyel-denklemler","category-differential-equations","category-riccati-diferansiyel-denklemi","category-riccati-differential-equation","tag-diferansiyel-denklemler","tag-differential-equations","tag-riccati-diferansiyel-denklemi","tag-riccati-differential-equation"],"_links":{"self":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=221"}],"version-history":[{"count":1,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/221\/revisions"}],"predecessor-version":[{"id":233,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/221\/revisions\/233"}],"wp:attachment":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=221"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=221"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}