Category: Differential Equation

Question Number 89973 by john santu last updated on 20/Apr/20 $$x\frac{dy}{dx}-y=x^2\tan \left(\frac{y}{x}\right)$$ Commented by john santu last updated on 20/Apr/20 $$[let\frac{y}{x}=v\Rightarrow y=vx]$$$$\frac{{dy}}{{dx}}\:=\:{v}\:+\:{x}\:\frac{{dv}}{{dx}}…

Question Number 89925 by john santu last updated on 20/Apr/20 $$x^2({yy}^{″}-y^2)+{xyy}^{\prime }=y\sqrt{x^2{\left(y^{\prime }\right)}^2+y^2}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 89835 by john santu last updated on 19/Apr/20 $$x^2\frac{d^{2}y}{{dx}^2}+4x\frac{dy}{dx}+2y=e^x$$ Answered by Joel578 last updated on 19/Apr/20 $${Euler}−{Cauchy}\:{eq}.\:\Rightarrow\:{x}^{\mathrm{2}} {y}''\:+\:{axy}'\:+\:{by}\:=\:\mathrm{0}…

Question Number 89776 by john santu last updated on 19/Apr/20 $$whatisthestabilityofthe$$$$followingfunction$$$$\frac{dy}{dt}=y^3-2y^2+y$$ Commented by jagoll last updated on…

Question Number 89748 by jagoll last updated on 19/Apr/20 $$\mathrm{dx}=(1+2\mathrm{xtan}\mathrm{y})\mathrm{dy}$$ Commented by mr W last updated on 19/Apr/20 $$\frac{dx}{dy}-\left(2\tan y\right)x=1$$$$−\int\mathrm{2}\:\mathrm{tan}\:{y}\:{dy}=\mathrm{2}\int\frac{{d}\:\left(\mathrm{cos}\:{y}\right)}{\mathrm{cos}\:{y}}=\mathrm{2ln}\:\left(\mathrm{cos}\:{y}\right)=\mathrm{ln}\:\mathrm{cos}^{\mathrm{2}} \:{y} \…