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>\n2. 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>\nA 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>\nWe 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":"\n
Plus Two Maths Notes Chapter 9 Differential Equations - A Plus Topper<\/title>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\t\n\t\n\t\n