Category: Others

Question Number 50275 by Tawa1 last updated on 15/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 15/Dec/18 $$\bigtriangleup{S}=\int_{{T}_{\mathrm{1}} } ^{{T}_{\mathrm{2}} } {C}_{{v}} \frac{{dT}}{{T}}−{R}\int_{{V}_{\mathrm{1}} } ^{{V}_{\mathrm{2}} }…

Question Number 181330 by Mastermind last updated on 24/Nov/22 $$\mathrm{Solve}:$$$$\frac{\mathrm{dy}}{\mathrm{dx}}+2\mathrm{x}(\mathrm{y}+1)=0,\mathrm{y}\left(0\right)=2$$ Answered by FelipeLz last updated on 24/Nov/22 $$\frac{dy}{dx}+2x(y+1)=0$$$$\frac{{dy}}{{dx}}+\mathrm{2}{xy}\:=\:−\mathrm{2}{x} \…

Question Number 115732 by gab last updated on 28/Sep/20 Commented by Dwaipayan Shikari last updated on 28/Sep/20 $$\underset{\mathrm{n}=1}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^{\mathrm{n}+1}}{{2\mathrm{n}}^2}{\mathrm{e}}^{\pi \mathrm{in}}$$$$=\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\mathrm{e}^{\mathrm{i}\pi} }{\mathrm{1}^{\mathrm{2}}…

Question Number 115696 by Dwaipayan Shikari last updated on 27/Sep/20 $${\mathrm{e}}^{\mathrm{x}}=\mathrm{logx}$$ Commented by Dwaipayan Shikari last updated on 27/Sep/20 $$\mathrm{e}^{\mathrm{x}} =\mathrm{logx} \…

Question Number 181218 by Mastermind last updated on 23/Nov/22 $$\mathrm{Solve}\mathrm{the}\mathrm{Differential}\mathrm{equation}:$$$$\mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}-\mathrm{y}=2\mathrm{y}(\mathrm{lnx}-\mathrm{lny})$$$$$$$$.$$ Answered by qaz last updated on 23/Nov/22…