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Category: Differential Equation

1-3x-2-ln-y-dx-x-3-y-dy-0-2-e-2x-4-y-y-3-dz-t-t-2-1-e-2z-dt-

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…

Who-knows-how-to-define-a-differential-equation-geometrically-I-want-to-learn-plz-

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} \\…

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-2-5t-6-a-How-far-is-the-body-from-O-at-the-start-b

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}? \\…

x-2-d-2-y-dx-2-x-dy-dx-1-y-0-

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}}…

Solve-the-d-e-using-method-of-variation-of-parameter-d-2-y-dx-2-3-dy-dx-2y-sin-e-x-

Question Number 47624 by Umar last updated on 12/Nov/18 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{d}.\mathrm{e}\:\mathrm{using}\:\mathrm{method}\:\mathrm{of}\:\mathrm{variation} \\ $$$$\mathrm{of}\:\mathrm{parameter}. \\ $$$$ \\ $$$$\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }+\mathrm{3}\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{2y}=\mathrm{sin}\left(\mathrm{e}^{\mathrm{x}} \right) \\ $$ Answered by tanmay.chaudhury50@gmail.com last…

Solve-the-d-e-using-method-of-variation-of-parameter-d-2-y-dx-2-3-dy-dx-2y-sin-e-x-

Question Number 47623 by Umar last updated on 12/Nov/18 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{d}.\mathrm{e}\:\mathrm{using}\:\mathrm{method}\:\mathrm{of}\:\mathrm{variation} \\ $$$$\mathrm{of}\:\mathrm{parameter}. \\ $$$$ \\ $$$$\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }+\mathrm{3}\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{2y}=\mathrm{sin}\left(\mathrm{e}^{\mathrm{x}} \right) \\ $$ Terms of Service Privacy…

1-dy-dx-d-y-dx-2-x-2-73-mod-216-3-If-2-x-1-2-x-2-2-x-3-2-x-n-80-000-where-x-1-x-2-x-3-x-n-are-distinct-whole-number-find-the-value-of-n-

Question Number 113060 by bemath last updated on 12/Sep/20 $$\:\left(\mathrm{1}\right)\:\sqrt{\frac{\mathrm{dy}}{\mathrm{dx}}}\:=\:\frac{\mathrm{d}\left(\sqrt{\mathrm{y}}\right)}{\mathrm{dx}} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{x}^{\mathrm{2}} \:\equiv\:\mathrm{73}\:\left(\mathrm{mod}\:\mathrm{216}\right) \\ $$$$\left(\mathrm{3}\right)\:\mathrm{If}\:\mathrm{2}^{\mathrm{x}_{\mathrm{1}} } +\mathrm{2}^{\mathrm{x}_{\mathrm{2}} } +\mathrm{2}^{\mathrm{x}_{\mathrm{3}} } +…+\mathrm{2}^{\mathrm{x}_{\mathrm{n}} } =\mathrm{80},\mathrm{000} \\ $$$$\:\mathrm{where}\:\mathrm{x}_{\mathrm{1}}…