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Wave Equations - Partial Differential Equations - Solved Exam, Exams of Differential Equations

Aliah UniversityDifferential Equations

This is the Solved Exam of Partial Differential Equations which includes Initial Conditions, Initial Temperature, Boundary Condition, Approximate Temperature etc. Key important points are: Wave Equations, Initial Conditions, Unique Solution, Heat Equation, Physical Meaning, Boundary Conditions, Heat, Equilibrium Solution, Solution, Quickies

Typology: Exams

2012/2013

Uploaded on 02/20/2013

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Download Wave Equations - Partial Differential Equations - Solved Exam and more Exams Differential Equations in PDF only on Docsity!

MATH348 - April 15, 2011 NAME: | Exam TT - 50 Points | In order to receive full credit, SHOW ALL YOUR WORK. Full credit will be given only if all reasouing and work is provided. When applicable, please enclose your final answers in boxcs. 1. (10 Points) Conceptual Questions. For the following questions, assume that we are considering the physical problent on a bonaded domain, « € (0,1) (a} Write down the heat and wawe equations and ary initial conditions needed for unique solutions. "au Woaxwo ys Base) =0 and us(1,4) = 0 lor each problem. Explain or both the heat equation and wave equation. (b) Suppose we are given the boundary conditions rf the physical meaning of cach boundary condition { per Rua got - — tat . Ou , . . id) Tf u(x, é) is an equilibrium sohition, a 0, for all ¢, to the heat equation then is it a solution to the . OL wave equation? Uxplain. 1