Category: Differential Equation

Question Number 137558 by liberty last updated on 04/Apr/21 $$(x+y)dx+(x+y^2)dy=0$$ Answered by Ñï= last updated on 04/Apr/21 $$(x+y)dx+(x+y^2)dy$$$$=\frac{\mathrm{1}}{\mathrm{2}}{d}\left({x}^{\mathrm{2}} \right)+{ydx}+{xdy}+\frac{\mathrm{1}}{\mathrm{3}}{d}\left({y}^{\mathrm{3}}…

Question Number 71983 by device4438043516@gmail.com last updated on 23/May/20 $$$$ Answered by Henri Boucatchou last updated on 23/Oct/19 $$\mathit{d}\left({\mathit{e}}^{\mathit{v}\mathit{l}\mathit{n}\mathit{u}}\right)={\mathit{u}}^{\mathit{v}}\mathit{d}\left(\mathit{v}\mathit{l}\mathit{n}\mathit{u}\right)$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\boldsymbol{{u}}^{\boldsymbol{{v}}}…

Question Number 6415 by sanusihammed last updated on 26/Jun/16 $$y^{{}^{\prime }}\left(t\right)=C+\frac{v\left(t\right)y\left(t\right)}{1+v\left(t\right)t}$$$$$$$$Here,tisthevariable$$$$y\left(t\right)isthefunction$$$$y^{{}^{\prime }}\left(t\right)isitsfirstderivative$$$$v\left(t\right)isananotherfunctioninthesamevariablet$$$${C}\:\:{is}\:{a}\:{constant}. \…

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

Question Number 71516 by oyemi kemewari last updated on 16/Oct/19 $${5\mathrm{y}}^{″}={(1+{\mathrm{y}}^{\prime 2})}^{\frac{3}{2}}$$$$\mathrm{please}\mathrm{solve}\mathrm{the}\mathrm{differtial}\mathrm{equation}$$ Answered by mind is power last updated on 17/Oct/19…