Question Number 30918 by naka3546 last updated on 28/Feb/18 Answered by ajfour last updated on 28/Feb/18 $${a}+{b}+{c}={s}_{\mathrm{1}} =\mathrm{15} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} ={s}_{\mathrm{2}} =\mathrm{107} \\…
Question Number 30917 by naka3546 last updated on 28/Feb/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 161991 by mkam last updated on 25/Dec/21 Commented by mkam last updated on 25/Dec/21 $$????? \\ $$ Answered by aleks041103 last updated on…
Question Number 161968 by naka3546 last updated on 24/Dec/21 $${Find}\:\:{coefficient}\:\:{of}\:\:{x}^{\mathrm{29}} \:\:{in}\:\:{expansion}\:\:{of}\:\:\:\left(\mathrm{1}+{x}^{\mathrm{5}} +{x}^{\mathrm{7}} +{x}^{\mathrm{9}} \right)^{\mathrm{1000}} \:. \\ $$ Answered by mr W last updated on 25/Dec/21…
Question Number 96428 by Hassanfathi last updated on 01/Jun/20 Answered by Sourav mridha last updated on 01/Jun/20 $$\boldsymbol{{y}}^{''} \left(\boldsymbol{{t}}\right)−\mathrm{3}\boldsymbol{{y}}^{'} \left(\mathrm{t}\right)+\mathrm{2}\boldsymbol{{y}}\left(\boldsymbol{{t}}\right)=\mathrm{4} \\ $$$$\boldsymbol{{using}}\:\boldsymbol{{Laplace}}\:\boldsymbol{{transform}} \\ $$$$\boldsymbol{{s}}^{\mathrm{2}} \boldsymbol{{y}}\left(\boldsymbol{{s}}\right)−\boldsymbol{{sy}}\left(\mathrm{0}\right)−\boldsymbol{{y}}^{'}…
Question Number 96427 by Hassanfathi last updated on 01/Jun/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 96429 by Hassanfathi last updated on 01/Jun/20 Answered by abdomathmax last updated on 01/Jun/20 $$\mathrm{y}^{\left(\mathrm{3}\right)} \:+\mathrm{y}^{\left(\mathrm{1}\right)} \:=\mathrm{t}+\mathrm{1}\:\Rightarrow \\ $$$$\mathrm{L}\left(\mathrm{y}^{\left(\mathrm{3}\right)} \right)+\mathrm{L}\left(\mathrm{y}^{\left(\mathrm{1}\right)} \right)\:=\mathrm{L}\left(\mathrm{t}+\mathrm{1}\right)\:\Rightarrow \\ $$$$\mathrm{t}^{\mathrm{3}}…
Question Number 96419 by Hassanfathi last updated on 01/Jun/20 Commented by bemath last updated on 01/Jun/20 $$\left(\mathrm{2}\right)\:\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{ky}\:=\mathrm{e}^{\mathrm{2kx}} \\ $$$$\mathrm{IF}\:\mathrm{u}\left(\mathrm{x}\right)\:=\:\mathrm{e}^{\int\mathrm{k}\:\mathrm{dx}} \:=\:\mathrm{e}^{\mathrm{kx}} \\ $$$$\Rightarrow\mathrm{e}^{\mathrm{kx}} \frac{\mathrm{dy}}{\mathrm{dx}}+\:\mathrm{ke}^{\mathrm{kx}} \mathrm{y}\:=\:\mathrm{e}^{\mathrm{3kx}} \\…
Question Number 161945 by Ahmed777hamouda last updated on 24/Dec/21 $$\:\:\boldsymbol{{P}\mathrm{rove}}\:\boldsymbol{\mathrm{that}}\:\int_{\mathrm{0}} ^{\infty} \frac{\left(\boldsymbol{{xcos}}\left(\boldsymbol{{x}}\right)−\boldsymbol{{sin}}\left(\boldsymbol{{x}}\right)\right)^{\mathrm{2}} }{\boldsymbol{{x}}^{\mathrm{6}} }\boldsymbol{{dx}}\:=\frac{\boldsymbol{\pi}}{\mathrm{15}} \\ $$ Answered by Ar Brandon last updated on 24/Dec/21 $${I}=\int_{\mathrm{0}}…
Question Number 96410 by joki last updated on 01/Jun/20 Commented by bemath last updated on 01/Jun/20 $$\mathrm{B} \\ $$$$\mathrm{2000}\left(\mathrm{1}+\mathrm{0}.\mathrm{06t}\right) \\ $$ Commented by joki last…