Question Number 61755 by arcana last updated on 08/Jun/19 $$\mathrm{if}\:{f}\left({z}\right)=\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{a}_{{k}} {z}^{{k}} ,{a}_{{k}} ,{z}\in\mathbb{C}.\mathrm{Prove} \\ $$$$ \\ $$$${a}_{{k}} =\frac{\mathrm{1}}{\mathrm{2}\pi{i}}\underset{\mid{z}\mid={r}\:} {\int}\frac{{f}\left({z}\right)}{{z}^{{k}+\mathrm{1}} }{dz} \\ $$$$ \\…
Question Number 127291 by bemath last updated on 28/Dec/20 $$\:\left({D}^{\mathrm{3}} −\mathrm{5}{D}^{\mathrm{2}} +\mathrm{7}{D}−\mathrm{3}\right){y}\:=\:{e}^{\mathrm{2}{x}} \:\mathrm{cosh}\:{x} \\ $$ Answered by liberty last updated on 28/Dec/20 $$\:{note}\:{that}\:{e}^{\mathrm{2}{x}} \:\mathrm{cosh}\:{x}\:=\:\frac{{e}^{\mathrm{3}{x}} +{e}^{{x}}…
Question Number 61754 by naka3546 last updated on 08/Jun/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61752 by maxmathsup by imad last updated on 08/Jun/19 $${solve}\:{the}\:\left({de}\right)\:\:\:\:\:\:\sqrt{\mathrm{2}{x}+\mathrm{1}}{y}^{'} \:−{x}^{\mathrm{3}} {y}\:\:=\:{xln}\left({x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61751 by maxmathsup by imad last updated on 08/Jun/19 $${use}\:{newton}\:{method}\:{to}\:{solve}\:{the}\:{equation}\:\:{x}^{\mathrm{4}} −\mathrm{3}{x}−\mathrm{1}\:=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 127287 by liberty last updated on 28/Dec/20 $$\:\:\left({x}+\mathrm{2}{y}−\mathrm{2}\right){dx}\:+\:\left(\mathrm{2}{x}+{y}+\mathrm{3}\right)\:{dy}\:=\:\mathrm{0} \\ $$ Answered by bemath last updated on 28/Dec/20 Commented by liberty last updated on…
Question Number 61750 by maxmathsup by imad last updated on 08/Jun/19 $$\:{find}\:\int\:\:\frac{{x}^{\mathrm{2}} −\sqrt{{x}−\mathrm{1}}}{\mathrm{2}\sqrt{{x}^{\mathrm{2}} +\mathrm{3}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61749 by maxmathsup by imad last updated on 08/Jun/19 $${find}\:\int\:\:\frac{{dx}}{{cos}\left(\mathrm{2}{x}\right)+{tan}\left({x}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61748 by maxmathsup by imad last updated on 08/Jun/19 $${find}\:\:\int\:\:\:\:\frac{{dx}}{{sin}\left(\mathrm{2}{x}\right)+{tan}\left({x}\right)}{dx} \\ $$ Commented by Prithwish sen last updated on 08/Jun/19 $$\int\frac{\mathrm{dx}}{\frac{\mathrm{2tanx}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \mathrm{x}}\:+\:\mathrm{tanx}} \\…
Question Number 192816 by All last updated on 28/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com