{"id":37490,"date":"2023-01-12T10:00:41","date_gmt":"2023-01-12T04:30:41","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=37490"},"modified":"2023-01-13T10:10:34","modified_gmt":"2023-01-13T04:40:34","slug":"plus-two-maths-notes-chapter-9","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/plus-two-maths-notes-chapter-9\/","title":{"rendered":"Plus Two Maths Notes Chapter 9 Differential Equations"},"content":{"rendered":"

Plus Two Maths Notes Chapter 9 Differential Equations is part of Plus Two Maths Notes<\/a>. Here we have given Plus Two Maths Notes Chapter 9 Differential Equations.<\/p>\n\n\n\n\n\n\n\n\n\n
Board<\/strong><\/td>\nSCERT, Kerala<\/td>\n<\/tr>\n
Text Book<\/strong><\/td>\nNCERT Based<\/td>\n<\/tr>\n
Class<\/strong><\/td>\nPlus Two<\/td>\n<\/tr>\n
Subject<\/strong><\/td>\nMaths Notes<\/td>\n<\/tr>\n
Chapter<\/strong><\/td>\nChapter 9<\/td>\n<\/tr>\n
Chapter Name<\/strong><\/td>\nDifferential Equations<\/td>\n<\/tr>\n
Category<\/strong><\/td>\nPlus Two Kerala<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Kerala Plus Two Maths Notes Chapter 9 Differential Equations<\/h2>\n

Introduction<\/span>
\nAn equation involving derivatives of a dependent variable with respect to one or more independent variables is called a Differential Equation. In this chapter we study the method formation of a Differential Equation and solving of a Differential Equation.<\/p>\n

I. Degree and Order of a DE<\/span>
\nOrder of a DE is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given DE.<\/p>\n

Degree of a DE is defined as the exponent of highest differential coefficient appearing in the equation provided the equation is made into polynomial form in all differential coefficient.<\/p>\n

II. Formation of a DE<\/span>
\nTo form a DE from a given function we differentiate the function successively as many times as the number of arbitrary constants in the equation and eliminate the arbitrary constant.<\/p>\n

III. Solution of a DE<\/span>
\n1. Variable Separable Type:
\nA DE of the form mdx = ndy Where m is a function in x alone or a constant and n is a function y alone or a constant.
\nSolution is \u222bmdx = \u222bndy + c.<\/p>\n

2. Homogeneous DE:
\nA DE of the form \\(\\frac{d y}{d x}=\\frac{f(x, y)}{g(x, y)}\\), where f(x, y) and g(x, y) are homogeneous equations in x and y. Solution is put y = vx \u21d2 \\(\\frac{d y}{d x}=v+x \\frac{d v}{d x}\\) after simplification DE will be converted into variable separable type.<\/p>\n

3. Linear DE:
\nA DE of the form \\(\\frac{d y}{d x}\\) + Py = Q, where P and Q dx are function in x alone or a constant.
\nSolution is IF = e\u222bPdx<\/sup>
\n\u21d2 y(IF) = \u222bQ(IF)dx + c.<\/p>\n

A DE of the form \\(\\frac{d x}{d y}\\) + px = Q, where P and Q are function in y alone or a constant.
\nSolution is IF = e\u222bPdy<\/sup>
\n\u21d2 x(IF) = \u222bQ(IF)dy + c.<\/p>\n

We hope the Kerala Plus Two Maths Notes Chapter 9 Differential Equations help you. If you have any query regarding Kerala Plus Two Maths Notes Chapter 9 Differential Equations, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"

Plus Two Maths Notes Chapter 9 Differential Equations is part of Plus Two Maths Notes. Here we have given Plus Two Maths Notes Chapter 9 Differential Equations. Board SCERT, Kerala Text Book NCERT Based Class Plus Two Subject Maths Notes Chapter Chapter 9 Chapter Name Differential Equations Category Plus Two Kerala Kerala Plus Two Maths […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[42728],"tags":[],"yoast_head":"\nPlus Two Maths Notes Chapter 9 Differential Equations - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/plus-two-maths-notes-chapter-9\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Plus Two Maths Notes Chapter 9 Differential Equations\" \/>\n<meta property=\"og:description\" content=\"Plus Two Maths Notes Chapter 9 Differential Equations is part of Plus Two Maths Notes. 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