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Question Number 123715 by Engr_Jidda last updated on 27/Nov/20 Answered by Dwaipayan Shikari last updated on 27/Nov/20 $$\int_{−\infty} ^{\infty} \frac{{e}^{\mathrm{2}{x}} }{{e}^{\mathrm{3}{x}} +\mathrm{1}}{dx} \\ $$$$=\mathrm{2}\int_{\mathrm{0}} ^{\infty}…
Question Number 123342 by bemath last updated on 25/Nov/20 $$\:\:\frac{{y}+\frac{{dy}}{{dx}}}{{y}}\:=\:{ay}\:,\:{for}\:{a}\:{some}\:{constant} \\ $$ Answered by liberty last updated on 25/Nov/20 $$\Rightarrow\:{y}\:+\:\frac{{dy}}{{dx}}\:=\:{ay}^{\mathrm{2}} \:;\:\frac{{dy}}{{dx}}\:=\:{ay}^{\mathrm{2}} −{y} \\ $$$$\:\Rightarrow\frac{{dy}}{{y}\left({ay}−\mathrm{1}\right)}\:=\:{dx}\: \\…
Question Number 123207 by benjo_mathlover last updated on 24/Nov/20 $$\:\:{x}^{\mathrm{2}} \:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:−\mathrm{3}{x}\:\frac{{dy}}{{dx}}\:+\:\mathrm{4}{y}\:=\:\ell{n}^{\mathrm{2}} \left({x}\right)−\ell{n}\left({x}\right) \\ $$ Commented by mnjuly1970 last updated on 24/Nov/20 $$\:\:\:\:\:{cauchy}\:{differential}\:{equation}. \\…
Question Number 123107 by benjo_mathlover last updated on 23/Nov/20 $$\:\:\:\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:−\:\mathrm{4}\frac{{dy}}{{dx}}\:+\mathrm{11}{y}\:=\:{e}^{−\mathrm{2}{x}} .\mathrm{sin}\:\mathrm{4}{x}\: \\ $$ Answered by mathmax by abdo last updated on 23/Nov/20 $$\mathrm{h}\rightarrow\mathrm{y}^{''}…
Question Number 57571 by cesar.marval.larez@gmail.com last updated on 07/Apr/19 Commented by MJS last updated on 07/Apr/19 $$\mathrm{what}\:\mathrm{is}\:“\mathrm{sen}''? \\ $$$$\mathrm{if}\:\mathrm{it}'\mathrm{s}\:\mathrm{sinus}\:\mathrm{or}\:\mathrm{secans}\:\mathrm{we}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{it}\: \\ $$ Terms of Service Privacy…
Question Number 122732 by fajri last updated on 19/Nov/20 $${find}\:{critical}\:{point}\:{from}\: \\ $$$$\:{Differential}\:{Equation}\:{System} \\ $$$$ \\ $$$$\frac{{dy}}{{dx}}\:=\:{x}\:−\:{y}\: \\ $$$$\frac{{dy}}{{dx}}\:=\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:−\:\mathrm{2}\: \\ $$ Answered by bemath…
Question Number 56795 by Ismael002 last updated on 24/Mar/19 $${dy}/{dx}={x} \\ $$ Commented by Kunal12588 last updated on 24/Mar/19 $$\frac{{dy}}{{dx}}={x} \\ $$$${dy}={x}\:{dx} \\ $$$$\int{dy}\:=\:\int\:{x}\:{dx} \\…
Question Number 187858 by normans last updated on 23/Feb/23 Answered by som(math1967) last updated on 23/Feb/23 $$\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\frac{\mathrm{1}}{{a}+{b}+{c}} \\ $$$$\Rightarrow\left({a}+{b}+{c}\right)\left({ab}+{bc}+{ca}\right)−{abc}=\mathrm{0} \\ $$$$\Rightarrow{a}^{\mathrm{2}} {b}+{abc}+{a}^{\mathrm{2}} {c}+{ab}^{\mathrm{2}} +{b}^{\mathrm{2}} {c}+{abc}+\cancel{{abc}}…
Question Number 122281 by benjo_mathlover last updated on 15/Nov/20 $$\:\:\frac{{dy}}{{dx}}\:=\:\frac{−{y}}{\mathrm{4}{y}^{\mathrm{3}} +\mathrm{3}{y}^{\mathrm{2}} +{x}}\:{with}\:{y}\left(\mathrm{1}\right)=−\mathrm{1} \\ $$ Answered by liberty last updated on 15/Nov/20 $$\left(\mathrm{4y}^{\mathrm{3}} +\mathrm{3y}^{\mathrm{2}} +\mathrm{x}\right)\mathrm{dy}\:+\:\mathrm{ydx}\:=\:\mathrm{0} \\…