{"id":4331,"date":"2022-06-11T07:58:46","date_gmt":"2022-06-11T07:58:46","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4331"},"modified":"2022-06-11T07:58:46","modified_gmt":"2022-06-11T07:58:46","slug":"what-are-differential-equations","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/what-are-differential-equations\/","title":{"rendered":"What are Differential Equations?"},"content":{"rendered":"\n<p>A differential equation is an equation that contains at least one\u00a0derivative\u00a0of an unknown function, either an ordinary derivative or a partial derivative. Suppose the rate of change of a function y with respect to x is inversely proportional to y, we express it as dy\/dx = k\/y.<\/p>\n\n\n\n<p>In\u00a0calculus, a differential equation is an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables). The derivative represents nothing but a rate of change, and the differential equation helps us present a relationship between the changing quantity with respect to the change in another quantity. y=f(x) be a function where y is a dependent variable, f is an unknown function, x is an independent variable. Here are a few differential equations.<\/p>\n\n\n\n<ul><li>(dy\/dx) = sin x<\/li><li>(d<sup>2<\/sup>y\/dx<sup>2<\/sup>) + k<sup>2<\/sup>y = 0<\/li><li>(d<sup>2<\/sup>y\/dt<sup>2<\/sup>) + (d<sup>2<\/sup>x\/dt<sup>2<\/sup>) = x<\/li><li>(d<sup>3<\/sup>y\/dx<sup>3<\/sup>) + x(dy\/dx) &#8211; 4xy = 0<\/li><li>(rdr\/d\u03b8) + cos\u03b8 = 5<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/mdr.foobrdigital.com\/wp-content\/uploads\/2022\/06\/ggg-1024x585.png\" alt=\"\" class=\"wp-image-4332\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A differential equation is an equation that contains at least one\u00a0derivative\u00a0of an unknown function, either an ordinary derivative or a partial derivative. Suppose the rate of change of a function y with respect to x is inversely proportional to y, we express it as dy\/dx = k\/y. In\u00a0calculus, a differential equation is an equation that [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[766],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4331"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=4331"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4331\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}