Category: Differential Equation

Question Number 91770 by john santu last updated on 03/May/20 $$y^{″}+3y=x^3+3x$$ Commented by Joel578 last updated on 03/May/20 $$\mathrm{Let}\mathrm{the}\mathrm{particular}\mathrm{solution}\mathrm{is}\mathrm{in}\mathrm{form}$$$${y}_{{p}} \:=\:{Ax}^{\mathrm{3}}…

Question Number 26198 by sorour87 last updated on 22/Dec/17 $$(2x\sqrt{x}+x^2+y^2)dx+2y\sqrt{x}dy=0$$ Answered by ajfour last updated on 22/Dec/17 $${let}\:\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={r}^{\mathrm{2}} \…

Question Number 26191 by sorour87 last updated on 21/Dec/17 $$2\frac{dy}{dx}+x=4\sqrt{y}$$ Answered by mrW1 last updated on 22/Dec/17 $$y=u^2$$$$\frac{dy}{dx}=2u\frac{du}{dx}$$$$\Rightarrow\mathrm{4}{u}\frac{{du}}{{dx}}+{x}=\mathrm{4}{u} \…

Question Number 26127 by sorour87 last updated on 20/Dec/17 $$y+2y^3{y}^{\left(1\right)}=(x+4y\ln \left(y\right))y^{\left(1\right)}$$ Answered by prakash jain last updated on 21/Dec/17 $${y}+\mathrm{2}{y}^{\mathrm{3}} \frac{{dy}}{{dx}}=\left({x}+\mathrm{4}{y}\mathrm{ln}\:{y}\right)\frac{{dy}}{{dx}} \…

Question Number 91643 by jagoll last updated on 02/May/20 $$\frac{dy}{dx}=\frac{y-x}{x}$$$$$$ Commented by john santu last updated on 02/May/20 Commented by Prithwish…