Question Number 103377 by Ar Brandon last updated on 14/Jul/20 $$\mathrm{y}''\left(\mathrm{x}\right)+\frac{\mathrm{2x}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{y}'\left(\mathrm{x}\right)+\left(\mathrm{2}−\mathrm{x}^{\mathrm{2}} \right)\mathrm{y}\left(\mathrm{x}\right)=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 103283 by bobhans last updated on 14/Jul/20 $${y}''\:+\:{y}\:=\:\mathrm{sin}\:\mathrm{2}{x}\: \\ $$ Answered by bemath last updated on 14/Jul/20 Terms of Service Privacy Policy Contact:…
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Question Number 103266 by Ar Brandon last updated on 13/Jul/20 $$\mathrm{How}\:\mathrm{can}\:\mathrm{we}\:\mathrm{solve}\:\mathrm{second}-\mathrm{order}\:\mathrm{differential}\:\mathrm{equations}\:\mathrm{with} \\ $$$$\mathrm{non}-\mathrm{constant}\:\mathrm{coefficients}\:?\:\mathrm{Any}\:\mathrm{idea},\:\mathrm{please}\:? \\ $$$$ \\ $$ Commented by Ar Brandon last updated on 13/Jul/20…
Question Number 168788 by TOTTI last updated on 17/Apr/22 Commented by Oktamboy last updated on 17/Apr/22 $$\int{xcos}\left({x}\right){dx}=\int{xdsinx}= \\ $$$$={xsinx}−\int{sinxdx}= \\ $$$$={xsinx}+{cosx}+{C} \\ $$ Terms of…
Question Number 168787 by TOTTI last updated on 17/Apr/22 Commented by Oktamboy last updated on 17/Apr/22 $${lny}={ln}\mathrm{3}×{cosx} \\ $$$$\frac{{y}'}{{y}}=−{ln}\mathrm{3}×{sinx} \\ $$$${y}'=−{ln}\mathrm{3}×{sinx}×\mathrm{3}^{{cosx}} \\ $$ Terms of…
Question Number 103201 by bobhans last updated on 13/Jul/20 $$\left({D}^{\mathrm{2}} −\mathrm{2}{D}+\mathrm{1}\right){y}\:=\:{x}\:\mathrm{ln}\left({x}\right) \\ $$ Commented by bobhans last updated on 14/Jul/20 $${thank}\:{you}\:{both}\: \\ $$ Answered by…
Question Number 103203 by bobhans last updated on 13/Jul/20 $${y}''+\mathrm{4}{y}'+\mathrm{4}{y}\:=\:\frac{{e}^{−\mathrm{2}{x}} }{{x}^{\mathrm{2}} }\: \\ $$ Answered by bramlex last updated on 14/Jul/20 $$\mathrm{characteristic}\:\mathrm{eq}\: \\ $$$$\chi^{\mathrm{2}} +\mathrm{4}\chi+\mathrm{4}\:=\:\mathrm{0}\:;\:\left(\chi+\mathrm{2}\right)^{\mathrm{2}}…
Question Number 103193 by bemath last updated on 13/Jul/20 $$\frac{{dy}}{{dx}}\:+\:{y}.\mathrm{cot}\:\left({x}\right)\:=\:\mathrm{sin}\:\left({x}\right) \\ $$ Commented by bobhans last updated on 13/Jul/20 Terms of Service Privacy Policy Contact:…
Question Number 103138 by bemath last updated on 13/Jul/20 $$\left({D}^{\mathrm{2}} −\mathrm{4}{D}\right){y}\:=\:{x}^{\mathrm{2}} \:{e}^{\mathrm{2}{x}} \\ $$ Commented by bemath last updated on 14/Jul/20 Commented by Israrchajk724 last…
Question Number 168663 by DomaPeti last updated on 15/Apr/22 $${how}\:{to}\:{solve}? \\ $$$$\frac{{cos}\left(\mathrm{30}°\right)\centerdot{sin}\left(\mathrm{45}°\right)−{cos}\left(\mathrm{30}°+{dx}\right)\centerdot{sin}\left(\mathrm{45}°+{dx}\right)}{{dx}}=? \\ $$$${dx}\rightarrow\mathrm{0} \\ $$ Commented by cortano1 last updated on 15/Apr/22 $$\underset{{dx}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\frac{\mathrm{1}}{\mathrm{4}}\sqrt{\mathrm{6}}−\mathrm{cos}\:\left(\mathrm{30}°+{dx}\right).\mathrm{sin}\:\left(\mathrm{45}°+{dx}\right)}{{dx}}…