Question Number 182 by sudhanshur last updated on 25/Jan/15 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\left({e}^{{y}} +\mathrm{1}\right)\mathrm{cos}\:{x}\:{dx}+{e}^{{y}} \mathrm{sin}\:{x}\:{dy}=\mathrm{0} \\ $$ Answered by 123456 last updated on 14/Dec/14 $$\mathrm{we}\:\mathrm{have}\:\left({e}^{{y}} +\mathrm{1}\right)\mathrm{cos}\:{x}\:{dx}+{e}^{{y}}…
Question Number 131253 by bramlexs22 last updated on 03/Feb/21 $${Solve}\:\left({D}^{\mathrm{2}} −\mathrm{3}{D}+\mathrm{2}\right){y}\:=\:\mathrm{2}{x}^{\mathrm{3}} \\ $$$${by}\:{operator}\:{D}\:{method}\: \\ $$ Answered by liberty last updated on 03/Feb/21 $$\mathrm{y}_{\mathrm{h}} \left(\mathrm{x}\right)=\:\mathrm{C}_{\mathrm{1}} \mathrm{e}^{\mathrm{x}}…
Question Number 131194 by john_santu last updated on 02/Feb/21 $$\:\mathrm{6}{y}^{\mathrm{3}} \:{dx}\:+\:\mathrm{2}{x}\:{dy}\:=\:\left({x}+\mathrm{1}\right)\:{dx}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 131086 by EDWIN88 last updated on 01/Feb/21 $$\:{y}''−{y}\:=\:{e}^{−\mathrm{2}{x}} \:\mathrm{sin}\:\left({e}^{−{x}} \right)\: \\ $$ Answered by liberty last updated on 01/Feb/21 $$\left[\:\mathrm{D}^{\mathrm{2}} −\mathrm{1}\:\right]\mathrm{y}\:=\:\mathrm{e}^{−\mathrm{2x}} \mathrm{sin}\:\left(\mathrm{e}^{−\mathrm{x}} \right)…
Question Number 143878 by akmalovna05 last updated on 19/Jun/21 $$\mathrm{y}'''=\mathrm{2xy}'' \\ $$ Answered by Ar Brandon last updated on 19/Jun/21 $$\mathrm{y}'''=\mathrm{2xy}''\Rightarrow\frac{\mathrm{y}'''}{\mathrm{y}''}=\mathrm{2x}\Rightarrow\mathrm{ln}\left(\mathrm{y}''\right)=\mathrm{x}^{\mathrm{2}} \Rightarrow\mathrm{y}''=\mathrm{e}^{\mathrm{x}^{\mathrm{2}} } \\ $$…
Question Number 143874 by akmalovna05 last updated on 19/Jun/21 $$\mathrm{y}''−\mathrm{x}×\mathrm{y}'''+\mathrm{y}'''^{\mathrm{3}} =\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143776 by akmalovna05 last updated on 18/Jun/21 $$\mathrm{x}×\mathrm{y}''−\mathrm{y}=\mathrm{x}^{\mathrm{3}} \\ $$ Answered by Olaf_Thorendsen last updated on 18/Jun/21 $${xy}''−{y}\:=\:{x}^{\mathrm{3}} \:\:\:\left(\mathrm{1}\right) \\ $$$$ \\ $$$$\mathrm{Particular}\:\mathrm{solution}\::…
Question Number 143775 by akmalovna05 last updated on 18/Jun/21 $$\mathrm{x}×\mathrm{y}''−\mathrm{y}=\hat {\mathrm{x}3} \\ $$ Answered by TheHoneyCat last updated on 21/Jun/21 $$\mathrm{I}\:\mathrm{a}\:\mathrm{polynomial}\:\mathrm{solution}: \\ $$$${f}:\begin{cases}{\mathbb{R}}&{\rightarrow}&{\mathbb{R}}\\{{x}}&{ }&{−{x}^{\mathrm{3}} +\mathrm{6}{x}^{\mathrm{2}}…
Question Number 143765 by akmalovna05 last updated on 18/Jun/21 $$\int\int{x}+\mathrm{2}{dx} \\ $$ Answered by ajfour last updated on 18/Jun/21 $$\int\left\{\int\left({x}+\mathrm{2}\right){dx}\right\}{dx} \\ $$$$\:=\:\int\:\frac{\left[\left({x}+\mathrm{2}\right)^{\mathrm{2}} +{k}\right]{dx}}{\mathrm{2}} \\ $$$$\:=\frac{\left({x}+\mathrm{2}\right)^{\mathrm{3}}…
Question Number 143766 by akmalovna05 last updated on 18/Jun/21 $${x}×{y}''−{y}=\hat {{x}}\mathrm{3} \\ $$ Commented by TheHoneyCat last updated on 18/Jun/21 $${what}\:{is}\:{x}^{\wedge} \mathrm{3}\:? \\ $$$$ \\…