its lateral edges insulated is initially at a temperature of x2 degrees Celsius throughout. The ends of the bar at x = 0 and x = π are placed in contact with heat reservoirs which are kept at zero temperature‚ so that the bar begins to cool. The boundary value problem governing the temperature u(x‚ t) of the bar at time t is given by ∂u ∂2u = for 0 < x < π‚ t > 0 ∂t ∂x2 with ∂u u(0‚ t) = (π‚ t) = 0 ∂x and u(x‚ 0) = x2 . Use the method of separation of variables to obtain (a) the eigenvalues and corresponding
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WWW.TPAPERS.BLOGSPOT.COM MILEAGE INDICATOR ON TWO WHEELERS (A PROJECT DONE ON BAJAJ BOXER) www.tpapers.blogspot.com For more papers www.tpapers.blogspot.com Help your fellow students… Explore more…. Mail your papers to totpapers@gmail.com MILEAGE INDICATOR ON TWO WHEELERS (A PROJECT DONE ON BAJAJ BOXER) ABSTRACT Most of the vehicle drivers seek for economical fuel consumption. Moreover fuel saving is also an important factor in today’s world. In this scenario we thought it would give
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Vishwakarma 1. Scopes and Objective of the Course: This Course reviews and continues the study of differential equations with the objective of introducing classical methods for solving boundary value problems. This course serves as a basis of the applications for differential equations‚ Fourier series and Laplace transform in various branches of engineering and sciences. This course emphasizes the role of orthogonal polynomials in
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Examples for Runge-Kutta methods We will solve the initial value problem‚ du = − 2 u x 4 ‚ u(0) = 1 ‚ dx to obtain u(0.2) using x = 0.2 (i.e.‚ we will march forward by just one x). (i) 3rd order Runge-Kutta method For a general ODE‚ du = f x ‚ u x dx ‚ the formula reads u(x+x) = u(x) + (1/6) (K1 + 4 K2 + K3) x ‚ K1 = f(x‚ u(x)) ‚ K2 = f(x+x/2‚ u(x)+K1x/2) ‚ K3 = f(x+x‚ u(x)K1x+2 K2x) . In our case‚ f(x‚ u) = 2u + x + 4. At x = 0 (the initial state)‚ and
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Essay: The Importance of Planning Project Boundaries By: Camila Ferrari - 09175130 1 - Introduction: “Project management is a series of activities embodied in a process of getting things done” (Cleland‚ 2007‚ p.51). What stages would be involved on defining the ‘series of activities’ and what needs to be ‘done’? Would a complete definition of the project and its boundaries be directly linked to the project success? This essay will critically analyze the following statement: “The First
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family boundaries are not strong enough to keep them off from misbehaving or make them focus on how to get a better life. Consequently‚ this has resulted in them looking for alternative ways to survive and satisfy the lack that they face currently. The external and internal factors of social understanding can be coupled with sociological theories that deepen the understanding of a family unit. “Most theories about families suggest that families should not only have flexible‚ clear boundaries with the
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Cloud and Townsend’s Boundaries in Marriage Ronji H. Hatchell ID #23785413 Liberty University Counseling 507-D15 201120 Spring Dr. Clayton Smith April‚ 22‚ 2011 A Critique of Cloud and Townsend’s Boundaries in Marriage Cloud and Townsend (1999) wrote a gem of a manual when they penned their book about how to include boundaries in marriage. The basic premise of the book is that it takes two mates that are willing to respect each other’s boundaries (while maintaining personal
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History 020 Rachel Chow 1 January 2011 A REVIEW OF JAMES K. POLK AND THE EXPANSIONIST IMPULSE James Knox Polk‚ a candidate of the Democratic Party in 1844‚ became the US president between 1845 and1849; however‚ he remains largely forgotten today‚ in the popular US imagination‚ because memories concerning his presidency had been overcome by memories of the most famous presidents like Abraham Lincoln. Remembrance of Polk as the 11th
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Assignment 1 – Tutor/teacher roles‚ responsibilities and boundaries in terms of the teaching/training cycle. This assignment is to describe the roles‚ responsibilities and boundaries a teacher/tutor must have in terms of the training cycle. A teacher’s role is to identify the needs of the learner and teach them. Although they are not experts‚ they have a wider knowledge than the learner of the subject they are teaching. Identifying needs and planning Teachers advise learners to complete
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Boundaries: Our Protection and Shield Personal boundaries are the physical‚ emotional and mental limits we establish to protect ourselves from being manipulated‚ used or violated by others. They allow us to separate who we are‚ and what we think and feel‚ from the thoughts and feelings of others. Their presence helps us to express ourselves as unique individuals‚ while we acknowledge the same in other. To set boundaries‚ you will be preserving your integrity‚ taking responsibility for who you are
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