Question Number 118574 by bramlexs22 last updated on 18/Oct/20 $${find}\:{particular}\:{solution}\:{of}\: \\ $$$$\left({D}^{\mathrm{3}} +\mathrm{4}{D}\right)\:{y}\:=\:\mathrm{sin}\:\mathrm{2}{x}\:{by}\:{using} \\ $$$${inverse}\:{operation}\:? \\ $$ Answered by TANMAY PANACEA last updated on 18/Oct/20…
Question Number 118442 by bramlexs22 last updated on 17/Oct/20 $$\:\:\mathrm{sin}\:{x}.{y}''\:+\mathrm{2cos}\:{x}.\:{y}'−{y}\:\mathrm{sin}\:{x}\:=\:{e}^{{x}} \\ $$$$ \\ $$ Answered by john santu last updated on 17/Oct/20 $$\:{To}\:{solve}\:{it},\:{we}\:{write}\:{it}\:{first}\:{as}\: \\ $$$$\left(\mathrm{sin}\:{x}.{y}''+\mathrm{cos}\:{x}.{y}'\:\right)+\:\left(\mathrm{cos}\:{x}.{y}'\:−\mathrm{sin}\:{x}\right)=\:{e}^{{x}}…
Question Number 118376 by bramlexs22 last updated on 17/Oct/20 $${If}\:{a}\:{curve}\:{y}\:=\:{f}\left({x}\right)\:{passing}\:{through} \\ $$$${the}\:{point}\:\left(\mathrm{1},\mathrm{2}\right)\:{is}\:{the}\:{solution} \\ $$$${of}\:{differential}\:{equation} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} \:{dy}\:=\:\left(\mathrm{2}{xy}+{y}^{\mathrm{2}} \right){dx}\:,\:{then}\:{the}\: \\ $$$${value}\:{of}\:{f}\left(\mathrm{2}\right)\:{is}\:{equal}\:{to}? \\ $$ Answered by benjo_mathlover…
Question Number 118349 by syamil last updated on 17/Oct/20 $${solution}\:{xdy}\:+\:\left(\mathrm{3}{y}\:−\:{e}^{{x}} \right){dx}\: \\ $$$${with}\:{integration}\:{factor} \\ $$ Answered by Dwaipayan Shikari last updated on 17/Oct/20 $${xdy}+\left(\mathrm{3}{y}−{e}^{{x}} \right){dx}=\mathrm{0}…
Question Number 118274 by bobhans last updated on 16/Oct/20 $$\:\:{y}''−\mathrm{3}{y}'+\mathrm{2}{y}\:=\:\frac{\mathrm{1}}{\mathrm{1}+{e}^{−{x}} }\: \\ $$ Answered by mathmax by abdo last updated on 16/Oct/20 $$\mathrm{h}\rightarrow\mathrm{r}^{\mathrm{2}} −\mathrm{3r}+\mathrm{2}=\mathrm{0}\:\rightarrow\Delta=\mathrm{9}−\mathrm{8}=\mathrm{1}\:\Rightarrow\mathrm{r}_{\mathrm{1}} =\frac{\mathrm{3}+\mathrm{1}}{\mathrm{2}}=\mathrm{2}\:\mathrm{and}\:\mathrm{r}_{\mathrm{2}}…
Question Number 118156 by bemath last updated on 15/Oct/20 $$\left(\mathrm{1}−{x}^{\mathrm{2}} \right){y}''−\mathrm{8}{xy}'−\mathrm{12}{y}=\mathrm{0} \\ $$ Commented by TANMAY PANACEA last updated on 15/Oct/20 $${still}\:{searching}\:{the}\:{way}\:{to}\:{reach}\:{goal} \\ $$ Commented…
Question Number 183638 by ali009 last updated on 27/Dec/22 $${find}\:{y}\left({t}\right) \\ $$$${y}\left({t}\right)+\mathrm{2}{e}^{{t}} \int_{\mathrm{0}} ^{{t}} \left({y}\left(\tau\right)−{e}^{−\tau} \right){d}\tau={te}^{{t}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 183533 by MikeH last updated on 26/Dec/22 Commented by MikeH last updated on 26/Dec/22 $$\mathrm{please}\:\mathrm{guys}\:\mathrm{solve}\:\mathrm{using}\:\mathrm{the}\:\mathrm{method}\:\mathrm{undetermined} \\ $$$$\mathrm{coefficients}\:\mathrm{or}\:\mathrm{variation}\:\mathrm{of}\:\mathrm{parameters}. \\ $$ Answered by qaz last…
Question Number 183532 by MikeH last updated on 26/Dec/22 Answered by CElcedricjunior last updated on 26/Dec/22 $$\mathrm{3}\boldsymbol{{xy}}'−\boldsymbol{{y}}=\boldsymbol{{lnx}}+\mathrm{1}\:\:\:\:\boldsymbol{{y}}\left(\mathrm{1}\right)=−\mathrm{2} \\ $$$$\left(\boldsymbol{{h}}\right):\mathrm{3}\boldsymbol{{xy}}'−\boldsymbol{{y}}=\mathrm{0}=>\boldsymbol{{y}}=\boldsymbol{{e}}^{\int\frac{\mathrm{1}}{\mathrm{3}\boldsymbol{{x}}}\boldsymbol{{dx}}} =\boldsymbol{{ke}}^{\frac{\mathrm{1}}{\mathrm{3}}\boldsymbol{{ln}}\mid\boldsymbol{{x}}\mid} =\boldsymbol{{ke}}^{\frac{\mathrm{1}}{\mathrm{3}}\boldsymbol{{lnx}}} \boldsymbol{{pour}}\:\boldsymbol{{x}}\in\mathbb{R}_{+} ^{\ast} \\ $$$$\boldsymbol{{y}}=\boldsymbol{{k}}\sqrt[{\mathrm{3}}]{\boldsymbol{{x}}}…
Question Number 117759 by Dwaipayan Shikari last updated on 13/Oct/20 $$\frac{{d}\theta}{{dx}}=\frac{\sqrt{\mathrm{1}−\frac{\theta^{\mathrm{2}} }{{x}^{\mathrm{2}} }}}{{sin}\left(\theta+{x}\right)} \\ $$ Commented by TANMAY PANACEA last updated on 13/Oct/20 $${assuming}\:\theta\:{and}\:{x}\:{in}\:{radian} \\…