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Question Number 142719 by gsk2684 last updated on 04/Jun/21

$$\mathrm{find}\mathrm{the}\mathrm{particular}\mathrm{solution}$$$$\mathrm{to}\mathrm{the}\mathrm{differential}\mathrm{equation}$$$${\mathrm{y}}^{\left(4\right)}+{21\mathrm{y}}^{\left(2\right)}-100\mathrm{y}=4(8-29\mathrm{t}){\mathrm{e}}^{-2\mathrm{t}}.$$$$\mathrm{solution}\mathrm{please}.$$

Commented by gsk2684 last updated on 04/Jun/21

$$\mathrm{i}\mathrm{got}\mathrm{the}\mathrm{particular}\mathrm{solution}$$$${\mathrm{y}}_{\mathrm{p}}={\mathrm{e}}^{-2\mathrm{t}}\frac{1}{{(\mathrm{D}-2)}^4+21{(\mathrm{D}-2)}^2-100}4(8-29\mathrm{t})$$$$\mathrm{it}\mathrm{gives}\mathrm{lengthy}\mathrm{calculation}$$$$\mathrm{send}\mathrm{me}\mathrm{any}\mathrm{formula}\mathrm{to}\mathrm{compute}$$$$\mathrm{easily}$$

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