Category: Relation and Functions

Question Number 99464 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{solve}{\mathrm{y}}^{{}^{″}}-{2\mathrm{y}}^{{}^{\prime }}+\mathrm{y}={\mathrm{xe}}^{-\mathrm{x}}\sin \left(2\mathrm{x}\right)\mathrm{withy}\left(\mathrm{o}\right)=-1\mathrm{and}{\mathrm{y}}^{{}^{\prime }}\left(0\right)=0$$ Answered by MWSuSon last updated on 21/Jun/20…

Question Number 99463 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{e}}^{-2\mathrm{x}}\arctan \left(\frac{3}{{\mathrm{x}}^2}\right)$$$$\mathrm{find}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)\mathrm{and}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(1\right)$$$$\left.\mathrm{2}\right)\:\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)\:=\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\mathrm{a}_{\mathrm{n}} \left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{n}} \:\:\:\:\mathrm{determinate}\:\mathrm{a}_{\mathrm{n}} \…

Question Number 99459 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{let}\mathrm{h}\left(\mathrm{x}\right)=\mathrm{x}\sin \left(2\mathrm{x}\right)\mathrm{even}2\pi \mathrm{poeriodic}\mathrm{developp}\mathrm{h}\mathrm{at}\mathrm{fourier}\mathrm{serie}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 99456 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^3,\mathrm{odd}\mathrm{and}2\pi \mathrm{periodic}\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{fourier}\mathrm{serie}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 33890 by math khazana by abdo last updated on 26/Apr/18 $$find{lim}_{x\to +\mathrm{\infty }}\sum _{n=1}^{\mathrm{\infty }}{(1+\frac{1}{n})}^{n^2}\frac{x^n}{n!}.$$ Terms of Service Privacy…