Question Number 95212 by mathmax by abdo last updated on 24/May/20 $$\mathrm{solve}\:\mathrm{by}\:\mathrm{Laplace}\:\mathrm{transform} \\ $$$$\mathrm{y}^{''} \:+\mathrm{5y}^{'} \:+\mathrm{2y}\:=\mathrm{x}^{\mathrm{2}} \mathrm{cosx}\:\:\mathrm{with}\:\mathrm{y}\left(\mathrm{o}\right)=\mathrm{1}\:\mathrm{and}\:\mathrm{y}^{'} \left(\mathrm{0}\right)\:=\mathrm{2} \\ $$ Answered by mathmax by abdo…
Question Number 95211 by mathmax by abdo last updated on 24/May/20 $$\mathrm{solve}\:\mathrm{by}\:\mathrm{Laplace}\:\mathrm{transform} \\ $$$$\left(\mathrm{x}+\mathrm{1}\right)\mathrm{y}^{'} \:−\mathrm{x}^{\mathrm{2}} \mathrm{y}\:=\mathrm{sin}\left(\mathrm{2x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 95150 by bobhans last updated on 23/May/20 $$\mathrm{how}\:\mathrm{do}\:\mathrm{you}\:\mathrm{solve}\:\mathrm{f}\left(\mathrm{x}\right)\:+\mathrm{2}\:\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{1}−\mathrm{x}}\right)\:=\:\mathrm{x}\: \\ $$$$\mathrm{for}\:\mathrm{f}\:?\: \\ $$ Answered by mr W last updated on 23/May/20 $${f}\left({x}\right)+\mathrm{2}{f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)={x}\:\:\:…\left({i}\right) \\ $$$${f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)+\mathrm{2}{f}\left(\frac{{x}−\mathrm{1}}{{x}}\right)=\frac{\mathrm{1}}{\mathrm{1}−{x}}\:\:\:…\left({ii}\right)…
Question Number 95140 by i jagooll last updated on 23/May/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{range}\:\mathrm{of}\:\mathrm{a}\:\mathrm{function}\: \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{x}+\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}}\: \\ $$ Commented by bobhans last updated on 23/May/20 $$\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\:\mathrm{is}\:\mathrm{valid}\:\mathrm{when}\:\mathrm{x}^{\mathrm{2}}…
Question Number 95132 by mathmax by abdo last updated on 23/May/20 $$\mathrm{dolve}\:\:\mathrm{xy}^{''} \:+\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right)\mathrm{y}^{'} \:+\mathrm{3y}\:=\mathrm{x}\:\mathrm{e}^{−\mathrm{2x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 29554 by abdo imad last updated on 09/Feb/18 $$\left.{l}\left.{et}\:{give}\:{f}\left({x}\right)=\:{x}^{\mathrm{2}} {cos}\left(\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)\:{if}\:{x}\in\right]\mathrm{0},\mathrm{1}\right]\:{but}\:{its}\:{derivative}\:{f}^{'} \\ $$$$\left.{i}\left.{s}\:{not}\:{integrable}\:{on}\:\right]\mathrm{0},\mathrm{1}\right]. \\ $$ Commented by abdo imad last updated on 14/Feb/18…
Question Number 29508 by abdo imad last updated on 09/Feb/18 $${x}\:{and}\:{y}\:{are}\:{elements}\:{from}\:{R}\:{wich}\:{verify} \\ $$$$\left({x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\right)\left({y}\:+\sqrt{{y}^{\mathrm{2}} +\mathrm{1}}\right)=\:\mathrm{1}\:\:{find}\:{x}+{y}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 29507 by abdo imad last updated on 09/Feb/18 $${solve}\:\:\:\left[\sqrt{{x}}\:\right]\:−{x}+\mathrm{1}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 29501 by abdo imad last updated on 09/Feb/18 $${find}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} \left({n}+\mathrm{2}\right)^{\mathrm{2}} }. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 29503 by abdo imad last updated on 09/Feb/18 $${let}\:{U}_{{n},{p}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{\left({n}+{k}\right)^{{p}+\mathrm{1}} }\:{with}\:{n},{p}\:{from}\:{N}^{\bigstar} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{lim}_{{n}\rightarrow+\infty} {U}_{{n},{p}} \:{for}\:{p}\geqslant\mathrm{2} \\ $$$$\left.\mathrm{2}\right){prove}\:{that}\:{U}_{{n},\mathrm{1}} \:{is}\:{convergent} \\ $$$$\left.\mathrm{3}\right)\:{let}\:{V}_{{n}} =\:\sum_{{k}=\mathrm{1}}…