PPT-Differential Equations and a few helpful ways to solve them

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. Formation of Partial Differential equations. Partial Differential Equation can be formed either by elimination of arbitrary constants or by the elimination of arbitrary functions from a relation involving three or more variables . . using Elimination. Steps:. 1. Place both equations in Standard Form, A. x . + B. y . = C.. 2. Determine which variable to eliminate with Addition or Subtraction.. 3. Solve for the variable left.. Mathematica. Primarily a computer program to do symbolic algebra and calculus. Does Plotting, Numerical and Web stuff too.. Very similar to Maple (beloved by Dr. . Shenkin. ). What is . Mathematica. ?. AP Calculus BC. Nonhomogeneous Differential Equations. Recall that second order linear differential equations with constant coefficients have the form:. Now we will solve equations where . G. (. x. ) . Solving Algebraic Equations. Real-World Equations. Real-World Inequalities. Solving Algebraic Inequalities. 200. 400. 600. 800. 200. 4. 00. 6. 00. 8. 00. 200. 4. 00. 6. 00. 8. 00. 200. 4. 00. 6. 00. 8. By: Kelly Martin. Differential Equation. Mathematical equation that relates some function with its derivatives. Usually, the functions represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between those two. 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 . MAT 275. A . separable. differential equation is one that can be written so that the independent variable terms (along with its differential) are collected to one side of the equal sign, and the dependent variable terms (and its differential) to the other.. 2. 8.1: First Order Systems. We now look at systems of linear differential equations.. One of the main reasons is that any nth order differential equation with n > 1 can be written as a first order system of n equations in n unknown functions.. 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 . 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. What we will learn. Solve linear equations using addition and subtraction. Solve linear equations using multiplication and division. Use linear equations to solve real-life problems. Needed Vocab. Equation:. 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 Order Differential Equations. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 7. th. . August 2015. Intro. We’ve already seen that differential . equations are equations which relate .