Category: Differential Equation

Question Number 46972 by 23kpratik last updated on 03/Nov/18 $$\mathit{l}\mathit{e}\mathit{t}m,ndenoteanytwopossitiverelativeprimeintegers,thenprovethat\varphi \left(mn\right)=\varphi \left(m\right)\cdot \varphi \left(n\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 46694 by MJS last updated on 30/Oct/18 $$(y^{″}y-{\left(y^{\prime }\right)}^2){\mathrm{e}}^{\frac{y^{\prime }}{y}}=y^2$$$$\mathrm{not}\mathrm{sure}\mathrm{if}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{possible}\mathrm{to}\mathrm{solve}\mathrm{this}\mathrm{at}\mathrm{all}\dots$$ Answered by ajfour last updated on 30/Oct/18 $$\mathrm{ln}\:\left[{y}''{y}−\left({y}'\right)^{\mathrm{2}} \right]+\frac{{y}'}{{y}}=\mathrm{2ln}\:{y}…

Question Number 111330 by bemath last updated on 03/Sep/20 $$\sqrt{\mathrm{bemath}}$$$$\frac{1}{\mathrm{x}}\frac{\mathrm{dy}}{\mathrm{dx}}+\frac{1}{\mathrm{y}}=\frac{1}{{\mathrm{y}}^2\ln \left(\mathrm{x}\right)}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 175827 by Engr_Jidda last updated on 07/Sep/22 Commented by Engr_Jidda last updated on 07/Sep/22 $$helpmesolvetheDE$$ Commented by TheHoneyCat last updated on…

Question Number 110178 by Rio Michael last updated on 27/Aug/20 $$\mathrm{Define}\mathrm{the}\mathrm{laplace}\mathrm{transformation}\mathrm{equation}\mathrm{and}$$$$\mathrm{use}\mathrm{the}\mathrm{transformation}\mathrm{equation}\mathrm{transform}\frac{dy}{dx}\mathrm{and}\frac{d^{2}y}{{dx}^2}$$$$\mathrm{hence}\mathrm{solve}\mathrm{the}\mathrm{equation}:\frac{d^{2}y}{{dx}^2}+5\frac{dy}{dx}+4=e^{-x}\sin 2x$$$$\mathrm{Using}\mathrm{the}\mathrm{laplace}\mathrm{transformation}\mathrm{equations}\mathrm{derived}\mathrm{above}.$$ Answered…