Category: Differential Equation

Question Number 108475 by pticantor last updated on 17/Aug/20 $$(x^2+1){\mathit{y}}^{{}^{\prime }}+2x\mathit{y}=x\sqrt{x^2+1}$$$$pleasesolvethisdifferential$$$$equation$$ Answered by Dwaipayan Shikari last updated…

Question Number 108227 by Ar Brandon last updated on 15/Aug/20 $${\mathrm{y}}^{″}+{4\mathrm{y}}^{\prime }+5\mathrm{y}={\mathrm{xe}}^{-2\mathrm{x}}\mathrm{sinx}$$ Answered by mathmax by abdo last updated on 15/Aug/20 $$\mathrm{h}\rightarrow\mathrm{r}^{\mathrm{2}} +\mathrm{4r}+\mathrm{5}=\mathrm{0}\rightarrow\Delta^{'}…

Question Number 173736 by Tawa11 last updated on 17/Jul/22 $$\mathrm{Show}\mathrm{that}{\mathrm{x}}^2+2\mathrm{xy}+{3\mathrm{y}}^2=1,\mathrm{is}\mathrm{a}\mathrm{solution}\mathrm{to}\mathrm{the}$$$$\mathrm{differential}\mathrm{equation}{(\mathrm{x}+3\mathrm{y})}^2\frac{{\mathrm{d}}^2\mathrm{y}}{{\mathrm{dx}}^2}+2({\mathrm{x}}^2+2\mathrm{xy}+{2\mathrm{y}}^3)=0$$ Answered by mindispower last…

Question Number 108094 by Dwaipayan Shikari last updated on 14/Aug/20 $$\frac{d^2\mathrm{\Psi }}{{dt}^2}+\frac{d\mathrm{\Psi }}{dt}+\mathrm{\Psi }=0$$ Answered by mathmax by abdo last updated on 14/Aug/20 $$\mathrm{y}^{''}…

Question Number 108047 by bemath last updated on 14/Aug/20 $$\frac{°\bullet \mathcal{B}e\mathcal{M}ath\bullet °}{\mathrm{\Sigma }}$$$$y-x\frac{dy}{dx}=a(1+x^2\frac{dy}{dx})$$ Answered by john santu last updated on 14/Aug/20 $$\:\:\:\:\:\:\frac{\diamondsuit\mathcal{JS}\bigstar}{\checkmark} \…