Question Number 49678 by Rio Michael last updated on 09/Dec/18 Commented by Rio Michael last updated on 09/Dec/18 $${A}\:{closed}\:{Cylinder}\:{can}\:{is}\:{made}\:{from}\:{a}\:{fix}\:{amount}\:{A}\:{of}\:{thin} \\ $$$${metal}\:{sheet}.{Find}\:{the}\:{relation}\:{between}\:{its}\:{radius}\:{and}\:{height}, \\ $$$${if}\:{it}\:{is}\:{to}\:{contain}\:{the}\:{maximum}\:{possible}\:{volume} \\ $$$$\left({Note}:\:{Wastage}\:{of}\:{material}\:{ignored}\right).…
Question Number 114980 by srijachakraborty last updated on 22/Sep/20 Answered by Dwaipayan Shikari last updated on 22/Sep/20 $$\left({y}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{3}} {y}\right)+\left({x}^{\mathrm{4}} −\mathrm{2}{xy}^{\mathrm{3}} \right)\frac{{dy}}{{dx}}=\mathrm{0} \\ $$$$\frac{{dy}}{{dx}}=\frac{\mathrm{2}{x}^{\mathrm{3}} {vx}−{v}^{\mathrm{4}}…
Question Number 114978 by srijachakraborty last updated on 22/Sep/20 $$ \\ $$$$\:\:{Solve}\: \\ $$$$\:{x}^{\mathrm{2}} {dy}\:+\:{y}\left({x}+{y}\right){dx}=\mathrm{0} \\ $$ Answered by soumyasaha last updated on 22/Sep/20 Answered…
Question Number 114722 by Dwaipayan Shikari last updated on 20/Sep/20 $${a}_{{n}} \frac{{d}^{{n}} \Psi}{{dt}^{{n}} }+{a}_{{n}−\mathrm{1}} \frac{{d}^{{n}−\mathrm{1}} \Psi}{{dt}^{{n}−\mathrm{1}} }+…..+{a}_{\mathrm{1}} \frac{{d}\Psi}{{dt}}+{a}_{\mathrm{0}} \Psi=\mathrm{0} \\ $$$${Is}\:{it}\:{solvable}??? \\ $$ Answered by…
Question Number 114340 by Dwaipayan Shikari last updated on 18/Sep/20 $$\frac{{d}^{\mathrm{2}} \theta}{{dt}^{\mathrm{2}} }+\frac{{g}}{{l}}{sin}\theta=\mathrm{0} \\ $$$${Or}\:\:\:\:\:\overset{\centerdot\centerdot} {\theta}\left({t}\right)+\frac{{g}}{{l}}\theta\left({t}\right)=\mathrm{0} \\ $$ Commented by mr W last updated on…
Question Number 114176 by bemath last updated on 17/Sep/20 $$\left(\mathrm{1}\right)\:\mathrm{3}{x}^{\mathrm{2}} \:\mathrm{ln}\:\left({y}\right)\:{dx}\:+\:\frac{{x}^{\mathrm{3}} }{{y}}{dy}\:=\:\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\:\left({e}^{\mathrm{2}{x}} +\mathrm{4}\right){y}\:'=\:{y}\: \\ $$$$\left(\mathrm{3}\right)\:{dz}\:=\:{t}\left({t}^{\mathrm{2}} +\mathrm{1}\right).{e}^{\mathrm{2}{z}} \:{dt}\: \\ $$ Commented by bobhans last…
Question Number 48585 by cesar.marval.larez@gmail.com last updated on 25/Nov/18 $${Who}\:{knows}\:{how}\:{to}\:{define}\:{a}\: \\ $$$${differential}\:{equation}\:{geometrically}? \\ $$$${I}\:{want}\:{to}\:{learn}\:{plz} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 25/Nov/18 $${pls}\:{put}\:{the}\:{same}\:{question}\:{in}\:{google}\:{and}\:{download} \\…
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Question Number 47965 by Rio Michael last updated on 17/Nov/18 $${A}\:{small}\:{body}\:{is}\:{made}\:{to}\:{travel}\:{linearly}\:{t}\:{sconds}\:{after}\:{the}\: \\ $$$${start}.{Its}\:{distance}\:{S}\:{meters}\:{from}\:{a}\:{fix}\:{point}\:{O}\:{on}\:{a}\: \\ $$$${linear}\:{scale}\:{is}\:{given}\:{by}\:{S}\:=\:{t}^{\mathrm{2}} −\mathrm{5}{t}\:+\:\mathrm{6}. \\ $$$$\left.{a}\right)\:{How}\:{far}\:{is}\:{the}\:{body}\:{from}\:{O}\:{at}\:{the}\:{start}? \\ $$$$\left.{b}\right){with}\:{what}\:{velocity}\:{does}\:{it}\:{start}? \\ $$$$\left.{c}\right){when}\:{is}\:{the}\:{body}\:{momentarily}\:{at}\:{rest}? \\ $$$$\left.{d}\right)\:{What}\:{is}\:{the}\:{acceleration}\:{of}\:{the}\:{body}? \\…
Question Number 113464 by bemath last updated on 13/Sep/20 $$\:\left({x}^{\mathrm{2}} \:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:+{x}\:\frac{{dy}}{{dx}}\:+\:\mathrm{1}\right).{y}\:=\:\mathrm{0} \\ $$ Answered by mathmax by abdo last updated on 13/Sep/20 $$\mathrm{y}=\mathrm{0}\:\mathrm{is}\:\mathrm{soluton}\:\mathrm{if}\:\mathrm{y}\neq\mathrm{0}\:\mathrm{weget}\:\mathrm{x}^{\mathrm{2}}…