PPT-Section 6.2 – Differential Equations (Growth and Decay)

Reminder Directly Proportional Two quantities are said to be in direct proportion or directly proportional or simply proportional if one is a constant multiple of the other For example . 4 Di64256erence Equations At this point almost all of our sequences have had explicit formulas for their terms That is we have looked mainly at sequences for which we could write the th term as for some known function For example if 1 3 then i How long will it take the population to reach 5000 people? e) What is the doubling time of the population? Solution: a) Since P(0) = 3200e0.0321(0) Since k = 0.0321, ! 3200(1.900277637) ! 6081 p Outline. Time Derivatives & Vector Notation. Differential Equations of Continuity. Momentum Transfer Equations. Introduction. FLUID. In order to calculate forces exerted by a moving fluid as well as the consequent transport effects, the dynamics of flow must be described mathematically . Appreciation & depreciation. 8. What you Should Learn. I can interpret coefficients and exponents in the context of the problem.. I can model and solve growth (appreciation) and decay (depreciation) problems.. Slope Fields. Differential Equations. Any equation involving a derivative is called a . differential equation. .. The solution to a differential is a family of curves that differ by a constant.. Example:. Date: ______________. Warm-Up. Rewrite each percent as a decimal.. 1.) 8% 2.) 2.4% 3.) 0.01%. 0.08 0.024 0.0001. Evaluate each expression for x = 3.. 4.) 2. x. 5.) 50(3). x. 6.) 2. January 8, . 2014. Funding for this. workshop was . provided by the program “Computational Modeling and Analysis of Complex Systems,” an NSF Expedition in Computing (Award Number 0926200).. Some questions ode’s can answer. 8. What you Should Learn. I can interpret coefficients and exponents in the context of the problem.. I can model and solve growth (appreciation) and decay (depreciation) problems.. Exponential Growth. Introduction to ODEs and Slope Fields. An . ordinary differential equation (ODE). is an equation involving a function . and some of its derivatives . , . ,….  . For example:.  . This equation says that . Syllabus. Winter 2018. Instructor and Textbook. Instructor: Roxin Zhang. Class: MWF 12:00 – 12:50 pm, . Jamrich. 3315. Office Hours: MWRT 11-11:50 am, . Jamrich. 2208. Text: A First Course in Differential Equations, 11th . MA361 Differential Equations Syllabus Winter 2018 Instructor and Textbook Instructor: Roxin Zhang Class: MWF 12:00 – 12:50 pm, Jamrich 3315 Office Hours: MWRT 11-11:50 am, Jamrich 2208 Text: A First Course in Differential Equations, 11th Muhammad Al . Fredey. Abdullah . Alshaye. 1. Radiocarbon dating . Radiocarbon dating. (or simply . carbon dating. ) is a . radiometric dating. technique that uses the decay of . carbon-14. (. 14. C. Differential Equations. In this class we will focus on solving ordinary differential equations that represent the physical processes we are interested in studying. With perhaps a few exceptions the most complicated differential equation we will look at will be second order, which means it will look something like. Quick example. How to solve differential equations. Second example. Some questions. How many tons of fish can fishermen harvest from a lake each year without endangering the fish population?. Some questions.