PPT-Differential Equations and Slope

Fields By Leslie Cade 1 st period Differential Equations A differential equation is an equation which involves a function and its derivative There are two types of differential equations General solution is when you solve in terms of y and there is a constant C in the problem. 16 N. H. Abdel-All and E. I. Abdel-Galil 1.Introduction Geodesics are curves on a surface that make turns just to stay on 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 . By:. Emily Zhou. What is a Linear Equation?. A linear equation is an equation whose graph forms a straight line.. Linear equations are usually shown on a coordinate plane. Real life situations of linear equations include the stock market as well as the payments of a car.. 2. Ordinary Differential Equations. To solve an RL circuit, we apply KVL around the loop and obtain a differential equation:. Differential Equation has an independent variable . i. and the derivative of the independent variable.. 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:. Y = . m. X. + . b. Slope. or. Rate of change. Y intercept. X. Y. 4. 5. The line has a negative trend. So the slope is - ⅘. The y intercept is at 0, -3. So the equation for the line is……. Y = . 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.  . An order . differential equation has a . parameter family of solutions … or will it?.  . 0. 1. 2. 3. 4. 0. 0. 1. 2. 3. 4. 1. 1. 2. 3. 4. 0. 2. 2. 3. 4. 0. 1. 3. 3. 4. 0. 1. 2. 4. 4. 0. 1. 2. Group. : Mohamed . Hairi. Bin Abdul . Shukur. (01DAD10F2060). . Khairil. . Azreen. Bin . Kholid. (01DAD10F2046). Amir Yusuf Bin . Hazimi. (01DAD10F2058). Muhammad . Amin. b. y. Tammy Wallace. What is a System of Equation?. A SYSTEM OF EQUATIONS is: . A SOLUTION to the SYSTEM OF EQUATIONS is:. A POINT OF INTERSECTION is: . two or more equations with the same variable being compared.. Numerical Approaches. by Thayer Fisher and Riley James. 1. Outline. Intro. A simple example. Proper . definition. Real world . example. Solutions. Runge-Kutta, . Dormond-Prince/ode23s. Conclusion. 2. y = e. x. y = e. 4x. y = e. x^2. y = sec x. dy. = e. x . dx. dy. = 4e. 4x . dx. dy. = 2xe. x^2 . dx. dy. = . tanxsecx. . dx. Slope Fields and Euler’s Method. Lesson 6.1. Objectives. Students will be able to:. 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.