EBK FUND.OF DIFF.EQUATIONS+BOUNDARY...
EBK FUND.OF DIFF.EQUATIONS+BOUNDARY...
7th Edition
ISBN: 9780321977175
Author: Nagle
Publisher: PEARSON CO
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Chapter 13.4, Problem 7E
To determine

A bound on the difference between ϕ(x) and ψ(x) for x in [1,1].

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What is a solution to a differential equation? We said that a differential equation is an equation that describes the derivative, or derivatives, of a function that is unknown to us. By a solution to a differential equation, we mean simply a function that satisfies this description. 2. Here is a differential equation which describes an unknown position function s(t): ds dt 318 4t+1, ds (a) To check that s(t) = 2t2 + t is a solution to this differential equation, calculate you really do get 4t +1. and check that dt' (b) Is s(t) = 2t2 +++ 4 also a solution to this differential equation? (c) Is s(t)=2t2 + 3t also a solution to this differential equation? ds 1 dt (d) To find all possible solutions, start with the differential equation = 4t + 1, then move dt to the right side of the equation by multiplying, and then integrate both sides. What do you get? (e) Does this differential equation have a unique solution, or an infinite family of solutions?

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EBK FUND.OF DIFF.EQUATIONS+BOUNDARY...

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