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Category: Differential Equation

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-

Question Number 169155 by Mastermind last updated on 27/Apr/22 $$\left(\mathrm{3}\right)\:\:{Consider}\:{the}\:{boundary}−{value}\: \\ $$$${problem}\:{y}''+\mathrm{2}{y}'+\mathrm{2}{y}=\mathrm{0},\:{y}\left({a}\right)={c}, \\ $$$${y}\left({b}\right)={d}.\:\left({i}\right)\:{if}\:{this}\:{problem}\:{has}\:{a}\: \\ $$$${unique}\:{solution},\:{how}\:{are}\:{a}\:{and}\:{b}\: \\ $$$${related}?\:\left({ii}\right)\:{if}\:{this}\:{problem}\:{has}\:{no} \\ $$$${solution},\:{how}\:{are}\:{a},{b},{c}\:{and}\:{d}\:{related}? \\ $$ Terms of Service…

pls-help-solve-this-differential-equation-3x-2-sin-1-x-y-dx-xcos-1-x-xdy-

Question Number 103597 by jimi last updated on 16/Jul/20 $$\boldsymbol{{pls}}\:\boldsymbol{{help}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{differential}}\:\boldsymbol{{equation}} \\ $$$$\left(\mathrm{3}\boldsymbol{{x}}^{\mathrm{2}} \mathrm{sin}\:\left(\frac{\mathrm{1}}{\boldsymbol{{x}}}\right)\:+\:\boldsymbol{{y}}\right)\boldsymbol{{dx}}\:=\:\boldsymbol{{xcos}}\left(\frac{\mathrm{1}}{\boldsymbol{{x}}}\right)\:−\boldsymbol{{xdy}} \\ $$ Commented by OlafThorendsen last updated on 16/Jul/20 $$\mathrm{something}\:\mathrm{is}\:\mathrm{missing}\:\mathrm{after}\:{x}\mathrm{cos}\frac{\mathrm{1}}{{x}}\:? \\ $$…