Category: Differential Equation

Question Number 67900 by ramirez105 last updated on 02/Sep/19 $$homogenousdifferentialequation.$$$$pleaseanswer.$$$$y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)2y=0$$$$$$$$cansomeoneanswerthis??$$ Terms…

Question Number 133403 by Engr_Jidda last updated on 21/Feb/21 $$verifythat{\varrho }^{x}andxarethesolution$$$$ofthehomogeneousequationcorresponding$$$$to(1-x)y^2+{xy}^1-y=2{(x-1)}^2{\varrho }^x,0<x<1$$$$andfindthegeneralsolution.$$ Terms of…

Question Number 133353 by Ahmed1hamouda last updated on 21/Feb/21 Commented by Ahmed1hamouda last updated on 21/Feb/21 $$\mathit{s}\mathit{o}\mathit{l}\mathit{v}\mathit{e}\mathit{t}\mathit{h}\mathit{e}\mathit{d}\mathit{i}\mathit{f}\mathit{f}\mathit{e}\mathit{r}\mathit{e}\mathit{n}\mathit{t}\mathit{i}\mathit{a}\mathit{l}\mathit{e}\mathit{q}\mathit{u}\mathit{a}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathrm{s}$$ Answered by mathmax by abdo last…

Question Number 133296 by rs4089 last updated on 21/Feb/21 Answered by SEKRET last updated on 21/Feb/21 $${\mathbf{x}}^2{\mathbf{y}}^{″}+3{\mathbf{xy}}^{\prime }+\mathbf{y}=\frac{1}{{(1-\mathbf{x})}^2}$$$$\:\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \boldsymbol{\mathrm{y}}''+\mathrm{3}\boldsymbol{\mathrm{xy}}'+\boldsymbol{\mathrm{y}}=\mathrm{0}\:\:\:\:\boldsymbol{\mathrm{y}}=\:\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{m}}} \:\:\:\:\boldsymbol{\mathrm{y}}'=\boldsymbol{\mathrm{mx}}^{\boldsymbol{\mathrm{m}}−\mathrm{1}} \:\:\:\:\:\boldsymbol{\mathrm{y}}''=\boldsymbol{\mathrm{m}}\left(\boldsymbol{\mathrm{m}}−\mathrm{1}\right)\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{m}}−\mathrm{2}} \…

Question Number 67759 by ugwu Kingsley last updated on 31/Aug/19 $$usingvariationofparametersmethod$$$$$$$${(x+2)}^2{y}^{″}-(x+2)y^{\prime }=2x+4$$$$$$$$$$$${x}^{\mathrm{2}} {y}''+\mathrm{2}{xy}'−\mathrm{2}{y}={x}^{\mathrm{2}} {lnx}+\mathrm{3}{x} \…