Category: Differential Equation

Question Number 104357 by bemath last updated on 21/Jul/20 $$(x+y+1)\frac{dy}{dx}=1$$ Answered by john santu last updated on 21/Jul/20 $$letz=x+y+1$$$$\frac{dz}{dx}=1+\frac{dy}{dx}\Rightarrow \frac{dy}{dx}=\frac{dz}{dx}-1$$$$\left(\rightarrow\right)\:{z}.\left(\frac{{dz}}{{dx}}−\mathrm{1}\right)\:=\:\mathrm{1}\:…

Question Number 104240 by bemath last updated on 20/Jul/20 $$\frac{dy}{dx}=1+x^2+y^2+{\left(xy\right)}^2$$ Commented by bemath last updated on 20/Jul/20 $$thankyouall.correct$$ Answered…

Question Number 169558 by greougoury555 last updated on 03/May/22 $$\frac{dy}{dx}=\frac{2x-y+1}{x-4y+3}$$ Answered by ali009 last updated on 03/May/22 $$a1=2a2=1a1/a2=2$$$$b1=-1b2=-4b1/b2=\frac{1}{4}$$$${so} \…

Question Number 103931 by bemath last updated on 18/Jul/20 $$(y^2+2)dx=(xy+2y+y^3)dy$$ Answered by bobhans last updated on 18/Jul/20 $$\frac{{dy}}{{dx}}\:=\:\frac{{y}^{\mathrm{2}} +\mathrm{2}}{{y}\left({x}+\mathrm{2}+{y}^{\mathrm{2}} \right)} \…

Question Number 103788 by bemath last updated on 17/Jul/20 $$y^{″}-y=\cot x$$ Answered by mathmax by abdo last updated on 18/Jul/20 $${\mathrm{y}}^{{}^{″}}-\mathrm{y}=\frac{\mathrm{cosx}}{\mathrm{sinx}}$$$$\mathrm{h}\rightarrow\mathrm{r}^{\mathrm{2}}…