- FILS Systems of Differential Equations and Models in Physics‚ Engineering and Economics Coordinating professor: Valeriu Prepelita Bucharest‚ July‚ 2010 Table of Contents 1. Importance and uses of differential equations 4 1.1. Creating useful models using differential equations 4 1.2. Real-life uses of differential equations 5 2. Introduction to differential equations 6 2.1. First order equations 6 2.1.1. Homogeneous equations 6 2.1.2. Exact equations 8 2.2. Second
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The Maxwell equations Introduction:- One of Newton’s great achievements was to show that all of the phenomena of classical mechanics can be deduced as consequences of three basic‚ fundamental laws‚ namely Newton’s laws of motion. It was likewise one of Maxwell’s great achievements to show that all of the phenomena of classical electricity and magnetism – all of the phenomena discovered by Oersted‚ Ampère‚ Henry‚ Faraday and others whose names are commemorated in several electrical
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Accounting is founded on the basic equation that states a company’s Assets equal their total Liabilities plus their total Owner’s Equity . This equation is summarized as ALOE . This isthe basis of the Balance Sheet.Assets are the company’s furniture‚ fixtures and equipment‚ physical property‚ intellectual property and other resources. These properties include the physical land as well as the equipmentand building improvements on the property.A company’s liabilities
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Kinematic Derivation of the Wave Equation http://prism.texarkanacollege.edu/physicsjournal/wave-e... KINEMATIC DERIVATION OF THE HARMONIC WAVE EQUATION AND RELATED TOPICS An extremely important type of wave in physics is the harmonic wave. This is a wave consisting of propagating simple harmonic oscillations or linear combinations thereof. Attach a weight to a spring and hang the spring so the weight is free to move. Then lift the weight straight up and release it; it will oscillate up and down
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(distance = speed X time) Upstream: 60 = 6(b-c) Downstream: 60 = 3(b+c) There are now two separate equations: 60 = 6b - 6c and 60 = 3b + 3c Solve both equations for b: b = 10 + c b = 10 - c Now make both equations equal each other and solve for c: 10 + c = 10 - c 2c = 0 c = 0 The speed of the current was 0 mph Now‚ plug the numbers into one of either the original equations to find the speed of the boat in still water. I chose the first equation: b = 10 + c or b = 10 + 0 b = 10 The speed
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the combustion of ethanol to provide energy for a small explosion. The chemical equation that describes the combustion of ethanol is shown below. (Note: Hover over the equations in this Introduction with your cursor to view enlarged formulas.) Equation 1: C2H6O+3O2→3H2O+2CO2+heat Ethanol: C2H6O Oxygen: 3O2 Water: H2O Carbon dioxide: CO2 The chemical equation states that ethanol (C2H6O)
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CHEMISTRY TOPIC 11 CHEMICAL CALCULATIONS CHEMICAL CALCULATIONS INTRODUCTION The first part of this ‘Chemical Calculations’ topic will help us to work out QUANTITIES involved in a reaction; For example‚ a manufacturer might want to know‚ How much ammonia will I produce from 20 tonnes of nitrogen in the Haber Process? To do these calculations you will need to be familiar with the term Ar (relative atomic mass)‚ Mr‚ Molar mass and Mole. Relative Atomic
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THE ACCOUNTING EQUATION The accounting equation can be described as of the basis of accounting. This is because it describes the double entry principle of book-keeping. It is a representation of how funds are raised to finance Assets. The equation is illustrated below: Asset = Capital + Liabilities For example‚ a girl needs to buy a laptop costing £500. She already had £250 in personal savings and then took a loan of £250 from her boyfriend. Here is the equation again: Asset Capital
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Calorimetry Equations Monday‚ October 28‚ 2013 12:00 PM TOOL BOX q=mc∆T Water sp. Heat Calorimetry : the measurement of energy (calorie) Calorimeter : tool used to measure energy by Measuring the change in temperature Equation : q=mc∆T What is the difference between Calorimetry and Calorimeter? Quantity of Energy (Cal.) Mass (g) Specific heat (given) (Cal/g) Change in temperature (℃ ) (End-short) What is the dance that we learned
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around 250A.D. started some kind of research on some equations involving more than one variables which would take only integer values.These equations are famously known as “DIOPHANTINE EQUATION”‚named due to Diophantus.The simplest type of Diophantine equations that we shall consider is the Linear Diophantine equations in two variables: ax+by=c‚ where a‚b‚c are integers and a‚b are not both zero. We also have many kinds of Diophantine equations where our main goal is to find out its solutions
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