Menu Close

Category: Differential Equation

y-t-C-v-t-y-t-1-v-t-t-Here-t-is-the-variable-y-t-is-the-function-y-t-is-its-first-derivative-v-t-is-an-another-function-in-the-same-variable-t-C-is-a-constant-Find-an-

Question Number 6415 by sanusihammed last updated on 26/Jun/16 $${y}^{'} \left({t}\right)\:=\:{C}\:+\:\frac{{v}\left({t}\right){y}\left({t}\right)}{\mathrm{1}\:+\:{v}\left({t}\right){t}} \\ $$$$ \\ $$$${Here},\:{t}\:\:{is}\:{the}\:{variable}\: \\ $$$${y}\left({t}\right)\:{is}\:{the}\:{function} \\ $$$${y}^{'} \left({t}\right)\:{is}\:{its}\:{first}\:{derivative}\: \\ $$$${v}\left({t}\right)\:{is}\:{an}\:{another}\:{function}\:{in}\:{the}\:{same}\:{variable}\:\:{t}\: \\ $$$${C}\:\:{is}\:{a}\:{constant}. \\…

Find-the-solution-of-the-differential-equation-y-x-1-dy-y-x-2-dx-0-

Question Number 6086 by sanusihammed last updated on 12/Jun/16 $${Find}\:{the}\:{solution}\:{of}\:{the}\:{differential}\:{equation}\: \\ $$$$\left({y}\:−\:{x}\:+\:\mathrm{1}\right){dy}\:−\:\left({y}\:+\:{x}\:+\:\mathrm{2}\right){dx}\:=\:\mathrm{0} \\ $$$$ \\ $$ Answered by Yozzii last updated on 12/Jun/16 $${M}\left({x},{y}\right){dx}+{N}\left({x},{y}\right){dy}=\mathrm{0} \\…

Solve-2x-x-2-y-2-1-x-y-2y-0-Given-y-x-2-is-a-solution-

Question Number 71570 by TawaTawa last updated on 17/Oct/19 $$\mathrm{Solve}:\:\:\:\:\:\left(\mathrm{2x}\:+\:\mathrm{x}^{\mathrm{2}} \right)\mathrm{y}''\:−\:\mathrm{2}\left(\mathrm{1}\:+\:\mathrm{x}\right)\mathrm{y}'\:+\:\mathrm{2y}\:\:=\:\:\mathrm{0} \\ $$$$\mathrm{Given}\:\:\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} \:\:\mathrm{is}\:\mathrm{a}\:\mathrm{solution}. \\ $$ Answered by mind is power last updated on 17/Oct/19…