Category: Differential Equation

Question Number 81937 by Joel578 last updated on 16/Feb/20 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{PDE}\:\mathrm{by}\:\mathrm{method}\:\mathrm{of}\:\mathrm{separating}\:\mathrm{variables} \\ $$$$\frac{\partial^{\mathrm{2}} {u}}{\partial{x}^{\mathrm{2}} }\:+\:\mathrm{2}{t}\frac{\partial^{\mathrm{2}} {u}}{\partial{x}\partial{t}}\:−\:\mathrm{4}{u}\:=\:\mathrm{0} \\ $$ Commented by Joel578 last updated on 16/Feb/20 $$\mathrm{My}\:\mathrm{approach}…

Question Number 81824 by M±th+et£s last updated on 15/Feb/20 Answered by mind is power last updated on 17/Feb/20 $${let}\:{ln}\left({x}\right)={t} \\ $$$$\Rightarrow{y}\left({x}\right)={y}\left({e}^{{t}} \right)={z}\left({t}\right) \\ $$$$\frac{{dy}}{{dx}}={z}'\left({t}\right).\frac{\mathrm{1}}{{x}},\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}}…

Question Number 16056 by Dr Kc last updated on 17/Jun/17 $${y}={Ax}\hat {\varrho}{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 15942 by Don sai last updated on 15/Jun/17 $$\mathrm{Help}. \\ $$$$\mathrm{solve}\left(\mathrm{x}+\mathrm{2}\right)\mathrm{dy}/\mathrm{dx}=\mathrm{3}−\mathrm{2y}/\mathrm{x} \\ $$ Answered by mrW1 last updated on 16/Jun/17 $$\left(\mathrm{x}+\mathrm{2}\right)\frac{\mathrm{dy}}{\mathrm{dx}}+\frac{\mathrm{2}}{\mathrm{x}}\mathrm{y}=\mathrm{3} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}+\frac{\mathrm{2}}{\mathrm{x}\left(\mathrm{x}+\mathrm{2}\right)}\mathrm{y}=\frac{\mathrm{3}}{\mathrm{x}+\mathrm{2}}…

Question Number 15840 by tawa tawa last updated on 14/Jun/17 $$\mathrm{Solve}\:\mathrm{the}\:\:\mathrm{ODE} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\:+\:\mathrm{x}^{\mathrm{2}} \mathrm{y}\:=\:\mathrm{x}^{\mathrm{4}} \\ $$$$ \\ $$ Commented by chux last updated on 14/Jun/17…