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}\:? \\ $$$$ \\…
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Question Number 78105 by aliesam last updated on 14/Jan/20 Answered by Kunal12588 last updated on 14/Jan/20 $$\frac{{dy}}{{dx}}+\left({tan}\:{x}\right){y}={sin}\:\mathrm{2}{x} \\ $$$${This}\:{is}\:{a}\:{linear}\:{differential}\:{equation} \\ $$$${differential}\:{equation}\:{of}\:{the}\:{type} \\ $$$$\frac{{dy}}{{dx}}+{Px}={Q}\:\:;\:{P}\:\&\:{Q}\:{are}\:{function}\:{of}\:{x}\:{only} \\ $$$${P}\:=\:{tan}\:{x},\:{Q}\:=\:{sin}\:\mathrm{2}{x}…
Question Number 143446 by gsk2684 last updated on 14/Jun/21 $$\mathrm{find}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of} \\ $$$$\mathrm{differential}\:\mathrm{equation}\: \\ $$$$\mathrm{y}'=\mathrm{y}−\mathrm{xy}^{\mathrm{3}} \mathrm{e}^{−\mathrm{2x}} \\ $$ Answered by gsk2684 last updated on 05/Jul/21 $$\mathrm{solution}\:\mathrm{please}…
Question Number 77859 by jagoll last updated on 11/Jan/20 $${y}\:=\:\mid{x}\mid\:^{\mid{x}\mid} \:\: \\ $$$$\frac{{dy}}{{dx}}\:=\:? \\ $$ Commented by mathmax by abdo last updated on 11/Jan/20 $${y}\left({x}\right)={e}^{\mid{x}\mid{ln}\mid{x}\mid}…
Question Number 12245 by tawa last updated on 16/Apr/17 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{4x}\:+\:\mathrm{2y}\:−\:\mathrm{3}}{\mathrm{8x}\:−\:\mathrm{4y}\:+\:\mathrm{5}} \\ $$ Answered by mrW1 last updated on 17/Apr/17 $$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{4x}\:+\:\mathrm{2y}\:−\:\mathrm{3}}{\mathrm{8x}\:−\:\mathrm{4y}\:+\:\mathrm{5}} \\ $$$$ \\…
Question Number 12228 by tawa last updated on 16/Apr/17 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{2xy}}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} } \\ $$ Answered by mrW1 last updated on 16/Apr/17 $${u}=\frac{{y}}{{x}} \\…