Category: Algebra

Question Number 161075 by mnjuly1970 last updated on 11/Dec/21 $$$$$$simplify$$$$$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{n}{{(n^2-\frac{1}{4})}^3}=?$$$$$$ Terms…

Question Number 161065 by cortano last updated on 11/Dec/21 $$\{\begin{array}{l}\sqrt[4]{x+abc}+\sqrt[8]{x-abc}=a\\ \sqrt[4]{x+abc}-\sqrt[8]{x-abc}=b\\ \sqrt[4]{x+abc}-\sqrt[4]{x-abc}=c\end{array}$$$$find\sqrt{x+abc}+\sqrt{x-abc}$$ Answered by Rasheed.Sindhi last updated on 12/Dec/21 $$\{\begin{array}{l}\sqrt[4]{x+abc}+\sqrt[8]{x-abc}=a\dots .\left(i\right)\\ \sqrt[4]{x+abc}-\sqrt[8]{x-abc}=b\dots ..\left(ii\right)\\ \sqrt[4]{x+abc}-\sqrt[4]{x-abc}=c\dots ..\left(iii\right)\end{array}$$$$\mathrm{2}\sqrt[{\mathrm{4}}]{{x}+{abc}}\:={a}+{b} \…

Question Number 161058 by HongKing last updated on 11/Dec/21 $$\mathrm{Solve}\mathrm{the}\mathrm{differential}\mathrm{equation}:$$$$\mathrm{x}(\mathrm{y}-1)\mathrm{dx}+(\mathrm{x}+1)\mathrm{dy}=0$$$$$$ Answered by mr W last updated on 11/Dec/21 $$\frac{{dy}}{{dx}}+\frac{{x}}{{x}+\mathrm{1}}\left({y}−\mathrm{1}\right)=\mathrm{0}…

Question Number 161039 by HongKing last updated on 11/Dec/21 $$\mathrm{let}\mathrm{the}\mathrm{differential}\mathrm{equation}:$$$$(1+\mathrm{x}){\mathrm{y}}^{{}^{″}}\left(\mathrm{x}\right)+(1-\mathrm{x}){\mathrm{y}}^{{}^{\prime }}\left(\mathrm{x}\right)=\frac{1-\mathrm{x}}{1+\mathrm{x}}\mathrm{y}\left(\mathrm{x}\right)$$$$\mathrm{y}\left(0\right)=1,{\mathrm{y}}^{{}^{\prime }}\left(0\right)=0$$$$\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\underset{\:\mathrm{0}} {\overset{\:\infty} {\int}}\left(\mathrm{y}^{''} \left(\mathrm{x}\right)\:+\:\mathrm{y}^{'} \left(\mathrm{x}\right)\:+\:\mathrm{y}\left(\mathrm{x}\right)\right)\:\mathrm{e}^{-\boldsymbol{\mathrm{x}}}…

Question Number 161032 by mathlove last updated on 11/Dec/21 Answered by cortano last updated on 11/Dec/21 Terms of Service Privacy Policy Contact: info@tinkutara.com