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can-Solve-Diff-equa-dy-t-dt-2-4y-t-8t-2-32t-28-Not-assuming-y-t-at-2-bt-c-and-Not-use-Rk-4-method-meaning-can-we-get-closed-form-soultion-




Question Number 205862 by MathedUp last updated on 01/Apr/24
can Solve Diff equa  (((dy(t))/dt))^2 +4y(t)=8t^2 −32t+28  Not assuming y(t)=at^2 +bt+c  and Not use Rk−4 method??  (meaning can we get closed form soultion)
$$\mathrm{can}\:\mathrm{Solve}\:\mathrm{Diff}\:\mathrm{equa} \\ $$$$\left(\frac{\mathrm{d}{y}\left({t}\right)}{\mathrm{d}{t}}\right)^{\mathrm{2}} +\mathrm{4}{y}\left({t}\right)=\mathrm{8}{t}^{\mathrm{2}} −\mathrm{32}{t}+\mathrm{28} \\ $$$$\mathrm{Not}\:\mathrm{assuming}\:{y}\left({t}\right)={at}^{\mathrm{2}} +{bt}+{c} \\ $$$$\mathrm{and}\:\mathrm{Not}\:\mathrm{use}\:\mathrm{Rk}−\mathrm{4}\:\mathrm{method}?? \\ $$$$\left(\mathrm{meaning}\:\mathrm{can}\:\mathrm{we}\:\mathrm{get}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{soultion}\right) \\ $$

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