Question Number 131048 by mathmax by abdo last updated on 31/Jan/21 $$\mathrm{solve}\:\mathrm{y}^{''} −\mathrm{y}^{'} \:+\mathrm{y}\:=\frac{\mathrm{e}^{−\mathrm{x}} }{\mathrm{x}+\mathrm{1}} \\ $$ Answered by Ar Brandon last updated on 01/Feb/21…
Question Number 65488 by mathmax by abdo last updated on 30/Jul/19 $${U}_{{n}} {is}\:{a}\:{sequence}\:{wich}\:{verify}\:\:\forall{n}\in{N}^{\bigstar} \\ $$$${U}_{{n}} \:+{U}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{{n}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:\:{U}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{is}\:{the}\:{sequence}\:{U}_{{n}} {convergent}? \\ $$…
Question Number 65489 by mathmax by abdo last updated on 30/Jul/19 $${U}_{{n}} \:{is}\:{a}\:{sequence}\:{wich}\:{verify}\:\:{U}_{{n}} \:+{U}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$$$\left.\mathrm{1}\right)\:{find}\:{U}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{lim}_{{n}\rightarrow+\infty} \:{U}_{{n}} \\ $$ Commented…
Question Number 65402 by mathmax by abdo last updated on 29/Jul/19 $${solve}\:{the}\:\left({de}\right)\:\:\:\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}{y}^{''} \:\:\:−{xy}^{'} \:={x}^{\mathrm{2}} −{x} \\ $$ Commented by mathmax by abdo last updated…
Question Number 65403 by mathmax by abdo last updated on 29/Jul/19 $${solve}\:{the}\left({de}\right)\:\:\:\:\:\:{x}^{\mathrm{3}} {y}^{''} −\mathrm{2}{xy}^{'} \:+\left({x}+\mathrm{1}\right){y}\:=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65386 by mathmax by abdo last updated on 29/Jul/19 $${calculate}\:\sum_{{k}=\mathrm{1}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{k}−\mathrm{1}} }{\mathrm{99}{k}−\mathrm{1}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 65383 by mathmax by abdo last updated on 29/Jul/19 $$\left.\mathrm{1}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dx}}{\mathrm{1}+{e}^{{nx}} }\:\:\:{with}\:{n}\:{integr}\:{natural}\:\:{and}\:{n}\geqslant\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{conclude}\:{the}\:{value}\:{of}\:\sum_{{k}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{k}−\mathrm{1}} }{{k}} \\ $$ Commented by mathmax…
Question Number 130894 by EDWIN88 last updated on 30/Jan/21 $${Find}\:{the}\:{function}\:{f}\left({x}\right)\:{if}\: \\ $$$$\:\mathrm{3}{f}\left({x}−\mathrm{1}\right)−{f}\left(\frac{\mathrm{1}−{x}}{{x}}\right)\:=\:\mathrm{2}{x}\: \\ $$ Commented by benjo_mathlover last updated on 30/Jan/21 այս հարցը շատ հետաքրքիր է Commented by EDWIN88…
Question Number 65297 by mathmax by abdo last updated on 28/Jul/19 $${let}\:\:\:{U}_{{n}} \:\:{a}\:{sequence}\:{wich}\:{verify}\:\:{U}_{{n}} \:+{U}_{{n}+\mathrm{1}} +{U}_{{n}+\mathrm{2}} \:={n}\left(−\mathrm{1}\right)^{{n}} \\ $$$${for}\:{all}\:{integr}\:{n}\:\:\:{calculate}\:{interms}\:{of}\:{n} \\ $$$${A}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\left(−\mathrm{1}\right)^{{k}} \:{U}_{{k}} \\…
Question Number 65285 by mathmax by abdo last updated on 27/Jul/19 $${let}\:{f}\left({x}\right)\:={e}^{−{x}^{\mathrm{2}} } {ln}\left(\mathrm{1}−{x}\right) \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented by mathmax by abdo last updated…