6 Systems Represented by Differential and Difference Equations Recommended Problems P6.1 Suppose that y 1(t) and y 2(t) both satisfy the homogeneous linear constant-coeffi cient differential equation (LCCDE) dy(t) + ay(t) = 0 dt Show that y 3 (t) = ayi(t) + 3y2 (t)‚ where a and # are any two constants‚ is also a solution to the homogeneous LCCDE. P6.2 In this problem‚ we consider the homogeneous LCCDE d 2yt + 3 dy(t) + 2y(t) = 0 dt 2 dt (P6.2-1) (a) Assume that a solution to
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QUADRATIC EQUATIONS Quadratic equations Any equation of the form ax2 + bx + c=0‚ where a‚b‚c are real numbers‚ a 0 is a quadratic equation. For example‚ 2x2 -3x+1=0 is quadratic equation in variable x. SOLVING A QUADRATIC EQUATION 1.Factorisation A real number a is said to be a root of the quadratic equation ax2 + bx + c=0‚ if aa2+ba+c=0. If we can factorise ax2 + bx + c=0‚ a 0‚ into a product of linear factors‚ then the roots of the quadratic equation ax2 + bx + c=0 can be found
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Development of an Equation Maggie Purpose: Investigate a chemical reaction using lab procedures and observations. Then‚ find a pattern of reactivity and explain the findings using a chemical equation and particle diagram. Procedure: Refer to: Department of Chemistry‚ The Ohio State University. "Development of an Equation." General Chemistry 1210 Laboratory Manual. Vol. 2013-2014. Plymouth: Hayden-McNeil. 32-35. Data/Results: Part A: In the potassium iodide solution‚ I think there were potassium
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Chemical Equations Name _____________________________ Balancing Balancing Equations Challenge Part A: Parts & Pieces (1) Circle each subscript in each chemical formula. (2) Draw a square around each coefficient. (3) Answer the questions related to each chemical formula. O2 CO2 5 H2 What element does the O represent? ___________________ How many atoms of each element are in the formula shown? C = ______ O = ______ How many atoms of Hydrogen are in this formula as shown
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provide a satisfactory amount of rights to the victim‚ then fails to provide equal rights to the offender and society and this creates the unbalancing of rights among these categories. The legal system reflects the ideals of society’s expectations and values and therefore when these expectations are fragmented they are remedied through law reform. Certain cases can be absent of law reform being created. R v BW & SW (no3) [2009] NSWSC 1043 shows the unbalancing of the rights of the victim and society
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| | |Assignment title | | | | |Simultaneous Equation | | |Programme (e.g.: APDMS) |HND CSD | | |Unit
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329 Quadratic Equations Chapter-15 Quadratic Equations Important Definitions and Related Concepts 1. Quadratic Equation If p(x) is a quadratic polynomial‚ then p(x) = 0 is called a quadratic equation. The general formula of a quadratic equation is ax 2 + bx + c = 0; where a‚ b‚ c are real numbers and a 0. For example‚ x2 – 6x + 4 = 0 is a quadratic equation. 2. Roots of a Quadratic Equation Let p(x) = 0 be a quadratic equation‚ then the values of x satisfying p(x) = 0 are called its roots or
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DIFFERENTIAL EQUATIONS: A SIMPLIFIED APPROACH‚ 2nd Edition DIFFERENTIAL EQUATIONS PRIMER By: AUSTRIA‚ Gian Paulo A. ECE / 3‚ Mapúa Institute of Technology NOTE: THIS PRIMER IS SUBJECT TO COPYRIGHT. IT CANNOT BE REPRODUCED WITHOUT PRIOR PERMISSION FROM THE AUTHOR. DEFINITIONS / TERMINOLOGIES A differential equation is an equation which involves derivatives and is mathematical models which can be used to approximate real-world problems. It is a specialized area of differential calculus but it involves
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Balancing Criminal Justice and Personal Freedoms Balancing Criminal Justice and Personal Freedoms The use of technology has been extremely beneficial to all branches of criminal justice although the loss of privacy and personal freedoms has been somewhat dramatic. As technology has evolved fighting crime has improved. Technology is a part of every day life for everyone. According to Rebecca Blaine‚ the first fully programmable computer was created around 1936. Since that date inventors all
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Southwest Airlines Internal Analysis Introduction This internal business analysis is on Southwest Airlines‚ which was founded in 1967 by Rollin King and Herb Kelleher. The main focus for Southwest Airlines was to provide low cost flights for their customers‚ and also have exceptional customer satisfaction. Southwest is a leading airline company that continues to do well in an industry that has been historically challenging. For instance‚ in the span of two years (2005-2007) five major airlines
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