The population will grow faster and faster. MOTIVATING EXAMPLES Differential equations have wide applications in various engineering and science disciplines. In such an environment, the population P of the colony will grow, as individual bacteria reproduce via binary ssion. Then those rabbits grow up and have babies too! For example, the population might increase at Learn new and interesting things. This discussion includes a derivation of the Euler–Lagrange equation, some exercises in electrodynamics, and an extended treatment of the perturbed Kepler problem. UNIT INDEX UNIT-I S.No Module Lecture No. equations in mathematics and the physical sciences. Some of the most common types of web applications are webmail, online retail sales, online banking, and online auctions among many others. 1 Introduction L1-L2 3-6 2 Exact Differential Equations L 3-L 10 7-14 3 Linear and Bernouli’sEquations L 11- L 12 15-16 applications of differential equations presented to:dr.sadia arshad presented by:ashhad abbas gilani(026) shahab arshad(058) riaz hussain(060) muhammad yousuf(… Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. APPLICATIONS OF DIFFERENTIAL EQUATIONS 2 the colony to grow. Share yours for free! For example, I show how ordinary differential equations arise in classical physics from the fun-damental laws of motion and force. Application 1 : Exponential Growth - Population Let P (t) be a quantity that increases with time t and the rate of increase is proportional to the same quantity P as follows d P / d t = k P o In our world things change, and describing how they change often ends up as a Differential Equation: " Rabbits" Exam ple : The more rabbits we have the more baby rabbits we get. Types of Web Applications - Talking in terms of computing, a web application or a web app can be termed as a client–server computer program where the client, including the user interface and client-side logic, runs in a web browser. Assuming that no bacteria die, the rate at which such a population grows will be proportional to the number of bacteria. Why Are Differential Equations Useful? View Applications Of Differential Equations PPTs online, safely and virus-free! DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO CIVIL ENGINEERING: THIS DOCUMENT HAS MANY TOPICS TO HELP US UNDERSTAND THE MATHEMATICS IN CIVIL ENGINEERING Many are downloadable. PPT Slide No. Get ideas for your own presentations. We present examples where differential equations are widely applied to model natural phenomena, engineering systems and many other situations.


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