Question Number 31416 by abdo imad last updated on 08/Mar/18 $${find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\frac{\mathrm{1}}{{n}^{\mathrm{4}} −\mathrm{1}}\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 96836 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{a}_{\mathrm{n}} \:\mathrm{is}\:\mathrm{a}\:\mathrm{sequence}\:\mathrm{wich}\:\mathrm{verify}\:\mathrm{a}_{\mathrm{n}+\mathrm{1}} \:+\mathrm{a}_{\mathrm{n}} =\frac{\mathrm{1}}{\mathrm{n}+\mathrm{1}}\:\forall\mathrm{n} \\ $$$$\mathrm{calculate}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\mathrm{a}_{\mathrm{n}} \mathrm{x}^{\mathrm{n}} \\ $$ Answered by Smail…
Question Number 96837 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{determine}\:\mathrm{f}\:\mathrm{continue}\:\mathrm{on}\:\left[\mathrm{a},\mathrm{b}\right]\:\mathrm{wich}\:\mathrm{verify}\:\left(\int_{\mathrm{a}} ^{\mathrm{b}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\right)^{\mathrm{2}} \:=\int_{\mathrm{a}} ^{\mathrm{b}} \:\mathrm{f}^{\mathrm{2}} \left(\mathrm{x}\right)\mathrm{dx} \\ $$ Answered by mathmax by abdo…
Question Number 96826 by bobhans last updated on 05/Jun/20 $$\mathrm{If}\:\mathrm{2f}\left(\mathrm{x}\right)\:+\:\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)\:=\:\mathrm{x}^{\mathrm{2}} \:.\:\mathrm{determine}\:\mathrm{f}\left(\mathrm{x}\right)\: \\ $$ Answered by john santu last updated on 05/Jun/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:{px}^{\mathrm{2}} +{qx}+{r}\: \\ $$$$\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)=\:{px}^{\mathrm{2}}…
Question Number 96772 by abdomathmax last updated on 04/Jun/20 $$\mathrm{solve}\:\mathrm{y}^{''} −\mathrm{2y}\:=\mathrm{x}^{\mathrm{2}} \mathrm{sinx}\:\:\mathrm{and}\:\mathrm{y}\left(\mathrm{0}\right)=\mathrm{0}\:,\mathrm{y}^{'} \left(\mathrm{0}\right)\:=\mathrm{1} \\ $$ Answered by mathmax by abdo last updated on 04/Jun/20 $$\left(\mathrm{he}\right)\:\rightarrow\mathrm{y}^{''}…
Question Number 96773 by abdomathmax last updated on 04/Jun/20 $$\mathrm{solve}\:\mathrm{y}^{''} −\mathrm{y}\:=\frac{\mathrm{sinx}}{\mathrm{x}} \\ $$ Answered by abdomathmax last updated on 05/Jun/20 $$\mathrm{let}\:\mathrm{solve}\:\mathrm{by}\:\mathrm{laplace}\: \\ $$$$\left(\mathrm{e}\right)\Rightarrow\mathrm{L}\left(\mathrm{y}^{''} \right)−\mathrm{L}\left(\mathrm{y}\right)\:=\mathrm{L}\left(\frac{\mathrm{sinx}}{\mathrm{x}}\right)\:\Rightarrow \\…
Question Number 96660 by mathmax by abdo last updated on 03/Jun/20 $$\mathrm{calculate}\:\mathrm{L}\left(\:\mathrm{e}^{−\mathrm{2x}} \:\mathrm{cos}\left(\pi\mathrm{x}\right)\right)\:\:\:\mathrm{L}\:\mathrm{laplace}\:\mathrm{transform} \\ $$ Answered by mathmax by abdo last updated on 04/Jun/20 $$\mathrm{L}\left(\mathrm{e}^{−\mathrm{2x}}…
Question Number 96659 by mathmax by abdo last updated on 03/Jun/20 $$\mathrm{find}\:\mathrm{L}\:\left(\frac{\mathrm{sh}\left(\mathrm{3x}\right)}{\mathrm{x}}\right)\:\mathrm{L}\:\mathrm{laplace}\:\mathrm{transform} \\ $$ Answered by Sourav mridha last updated on 07/Jun/20 $$\boldsymbol{{f}}\left(\boldsymbol{{a}}\right)=\int_{\mathrm{0}} ^{\infty} \boldsymbol{{e}}^{−\boldsymbol{{ax}}}…
Question Number 96658 by mathmax by abdo last updated on 03/Jun/20 $$\mathrm{determine}\:\mathrm{L}\left(\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} −\mathrm{x}} \right)\:\:\:\mathrm{with}\:\mathrm{L}\:\mathrm{laplace}\:\mathrm{transform} \\ $$ Answered by mathmax by abdo last updated on 04/Jun/20…
Question Number 96657 by mathmax by abdo last updated on 03/Jun/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{e}^{−\mathrm{x}} \:,\:\:\mathrm{2}\pi\:\mathrm{periodic}\:\:\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 04/Jun/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\sum_{\mathrm{n}=−\infty}…