3-Consider-the-boundary-value-problem-y-2y-2y-0-y-a-c-y-b-d-i-if-this-problem-has-a-unique-solution-how-are-a-and-b-related-ii-if-this-problem-has-no-solution-how-are-a-b-c-and-d-

Tinku Tara June 4, 2023 Differential Equation 0 Comments

Question Number 169155 by Mastermind last updated on 27/Apr/22

(3) Consider the boundary−value problem y′′+2y′+2y=0, y(a)=c, y(b)=d. (i) if this problem has a unique solution, how are a and b related? (ii) if this problem has no solution, how are a,b,c and d related?

$$\left(\mathrm{3}\right)\:\:{Consider}\:{the}\:{boundary}−{value}\: \\ $$$${problem}\:{y}''+\mathrm{2}{y}'+\mathrm{2}{y}=\mathrm{0},\:{y}\left({a}\right)={c}, \\ $$$${y}\left({b}\right)={d}.\:\left({i}\right)\:{if}\:{this}\:{problem}\:{has}\:{a}\: \\ $$$${unique}\:{solution},\:{how}\:{are}\:{a}\:{and}\:{b}\: \\ $$$${related}?\:\left({ii}\right)\:{if}\:{this}\:{problem}\:{has}\:{no} \\ $$$${solution},\:{how}\:{are}\:{a},{b},{c}\:{and}\:{d}\:{related}? \\ $$

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3-Consider-the-boundary-value-problem-y-2y-2y-0-y-a-c-y-b-d-i-if-this-problem-has-a-unique-solution-how-are-a-and-b-related-ii-if-this-problem-has-no-solution-how-are-a-b-c-and-d-

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