Category: Differential Equation

Question Number 128689 by bemath last updated on 09/Jan/21 $$({\mathrm{x}}^3+{\mathrm{y}}^3)\mathrm{dx}={3\mathrm{xy}}^2\mathrm{dy}$$ Answered by liberty last updated on 09/Jan/21 $$\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} }{\mathrm{3xy}^{\mathrm{2}}…

Question Number 128646 by Algoritm last updated on 09/Jan/21 Answered by Olaf last updated on 09/Jan/21 $$y^{″}-\frac{1+x}{x}{y}^{\prime }+\frac{y}{x}=0\left(1\right)$$$$y^{″}-y^{\prime }-\frac{y^{\prime }-y}{x}=0\left(2\right)$$$$\mathrm{Let}u=y^{\prime }-y\left(3\right)$$$$\left(2\right):u^{\prime }-\frac{u}{x}=0$$$$\frac{{u}'}{{u}}\:=\:\frac{\mathrm{1}}{{x}}…

Question Number 128536 by liberty last updated on 08/Jan/21 $$\mathrm{Solution}\mathrm{of}\mathrm{differential}\mathrm{eq}\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{y}(\mathrm{x}-\mathrm{y}\ln \mathrm{y})}{\mathrm{x}(\mathrm{x}\ln \mathrm{x}-\mathrm{y})}.$$$$\mathrm{is}\mathrm{\_}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 128420 by bramlexs22 last updated on 07/Jan/21 $${\mathrm{y}}^{\prime }=2\mathrm{y}\sin \mathrm{x}-{2\mathrm{y}}^{3/2}\sin \mathrm{x}$$ Answered by liberty last updated on 07/Jan/21 $${\mathrm{y}}^{\prime }=2\sin \mathrm{x}(\mathrm{y}-{\mathrm{y}}^{3/2})$$$$\frac{\mathrm{dy}}{\mathrm{y}−\mathrm{y}^{\mathrm{3}/\mathrm{2}} }\:=\:\mathrm{2sin}\:\mathrm{x}\:\mathrm{dx}\:…

Question Number 128254 by Ahmed1hamouda last updated on 05/Jan/21 Answered by mr W last updated on 06/Jan/21 $$\frac{dy}{dx}+2xy={xe}^{-x}$$$$IF=e^{\int 2xdx}=e^{x^2}$$$${y}=\frac{\int{e}^{{x}^{\mathrm{2}} }…