Question Number 147762 by DomaPeti last updated on 23/Jul/21 $${how}\:{to}\:{minimalize}\:{t}? \\ $$$$\underset{{x}_{\mathrm{2}} } {\overset{{x}_{\mathrm{1}} } {\int}}\frac{\sqrt{\mathrm{1}+\left({y}\left({x}\right)'\right)^{\mathrm{2}} }}{\:\sqrt{{x}^{\mathrm{2}} +{y}\left({x}\right)^{\mathrm{2}} }\centerdot{c}_{\mathrm{1}} +{c}_{\mathrm{0}} }\Delta{x}={t} \\ $$$$ \\ $$…
Question Number 16547 by Sai dadon. last updated on 23/Jun/17 $${solve} \\ $$$${dy}/{dx}\:+\:{xy}={y}^{\mathrm{2}} {e}^{\mathrm{1}/\mathrm{2}{x}^{\mathrm{2}} } {logx} \\ $$ Commented by Sai dadon. last updated on…
Question Number 16546 by Sai dadon. last updated on 23/Jun/17 $${dv}/{dt}=−\left({kv}+{bt}\right)\:{where}\:{k}\:{and}\:{b}\:{are}\:{constants} \\ $$$${solve}\:{the}\:{equation}\:{of}\:{v}\:{given} \\ $$$${v}={u}\:{when}\:{t}=\mathrm{0} \\ $$ Answered by mrW1 last updated on 23/Jun/17 $$\frac{\mathrm{dv}}{\mathrm{dt}}+\mathrm{kv}=−\mathrm{bt}…
Question Number 16514 by Sai dadon. last updated on 23/Jun/17 $${Help}\:{plz} \\ $$$${Given}\:\mathrm{2}{d}^{\mathrm{2}} {x}/{dt}^{\mathrm{2}} +\mathrm{2}{dx}/{dt}+{x}={ksint} \\ $$$${where}\:{k}\:{is}\:{constant}\:{show}\:{that}\:{if}\:{x}={n} \\ $$$${and}\:{dx}/{dt}=\mathrm{0}\:{when}\:{t}=\mathrm{0}\:{then}\: \\ $$$$\left.{x}={e}^{−\mathrm{1}/\mathrm{2}{t}} \left\{\left({n}+\mathrm{2}/\mathrm{5}{k}\right){cos}\left({t}/\mathrm{2}\right)+\right)+\left({n}+\mathrm{4}/\mathrm{5}{k}\right){sin}\left({t}/\mathrm{2}\right)\right\} \\ $$$$−\mathrm{1}/\mathrm{5}{ksint}−\mathrm{2}/\mathrm{5}{kcost}. \\…
Question Number 16493 by Sai dadon. last updated on 23/Jun/17 $${Find}\:{L}\left\{{tcosh}\mathrm{2}{t}\right\} \\ $$ Commented by prakash jain last updated on 23/Jun/17 $$\int_{\mathrm{0}} ^{\infty} {t}\mathrm{cosh}\:\mathrm{2}{te}^{−{st}} {dt}…
Question Number 16492 by Sai dadon. last updated on 23/Jun/17 $${solve} \\ $$$${Mdc}/{dt}={P}+{km}−{Cm}\:{where}\:{M}.{P}.{m}\:{and} \\ $$$${k}\:{are}\:{constant} \\ $$$${solve}\:{the}\:{equation}\:{given}\:{C}={a}\:{when}\:{t}={o} \\ $$ Answered by mrW1 last updated on…
Question Number 16475 by Sai dadon. last updated on 22/Jun/17 $${use}\:{L}\left\{{f}'\left({t}\right)\right\}\:{to}\:{find}\:{laplace}\: \\ $$$${transform}\:{of}\:{d}^{\mathrm{2}} {x}/{dt}^{\mathrm{2}} +{n}^{\mathrm{2}} {x}={kcoswt} \\ $$$${given}\:{that}\:{x}=\mathrm{0}\:{and}\:{dx}/{dt}=\mathrm{0}\:{when}\:{t}=\mathrm{0} \\ $$$${PLZ}\:{HELP}. \\ $$$$ \\ $$ Answered…
Question Number 81937 by Joel578 last updated on 16/Feb/20 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{PDE}\:\mathrm{by}\:\mathrm{method}\:\mathrm{of}\:\mathrm{separating}\:\mathrm{variables} \\ $$$$\frac{\partial^{\mathrm{2}} {u}}{\partial{x}^{\mathrm{2}} }\:+\:\mathrm{2}{t}\frac{\partial^{\mathrm{2}} {u}}{\partial{x}\partial{t}}\:−\:\mathrm{4}{u}\:=\:\mathrm{0} \\ $$ Commented by Joel578 last updated on 16/Feb/20 $$\mathrm{My}\:\mathrm{approach}…
Question Number 16330 by A WLAN last updated on 20/Jun/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 81824 by M±th+et£s last updated on 15/Feb/20 Answered by mind is power last updated on 17/Feb/20 $${let}\:{ln}\left({x}\right)={t} \\ $$$$\Rightarrow{y}\left({x}\right)={y}\left({e}^{{t}} \right)={z}\left({t}\right) \\ $$$$\frac{{dy}}{{dx}}={z}'\left({t}\right).\frac{\mathrm{1}}{{x}},\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}}…