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Question Number 9011 by tawakalitu last updated on 13/Nov/16 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{for}\:\mathrm{any}\:\mathrm{arbitary}\:\mathrm{constants}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B} \\ $$$$\mathrm{y}\:=\:\mathrm{A}\left(\mathrm{sinx}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\mathrm{cosx}\right)\:+\:\mathrm{B}\left(\mathrm{cosx}\:−\:\frac{\mathrm{1}}{\mathrm{x}}\mathrm{sinx}\right)\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{differential}\:\mathrm{equation}\:\:\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }\:+\:\left(\mathrm{1}\:−\:\frac{\mathrm{2}}{\mathrm{x}^{\mathrm{2}} }\right)\mathrm{y}\:=\:\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 8955 by Sopheak last updated on 07/Nov/16 $${Solve}\:{the}\:{equation}\:{below}\: \\ $$$$\sqrt{{x}−\mathrm{2}}=\frac{\mathrm{5}{x}^{\mathrm{2}} −\mathrm{10}{x}+\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{6}{x}−\mathrm{11}} \\ $$ Commented by prakash jain last updated on 08/Nov/16 $${x}−\mathrm{2}={u}…
Question Number 8816 by javawithstonefish last updated on 29/Oct/16 $${how}\:{can}\:{we}\:{solve} \\ $$$${y}''{f}\left({x}\right)+{y}'{f}_{\mathrm{2}} \left({x}\right)=\mathrm{0} \\ $$$${y}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 8798 by javawithfish last updated on 28/Oct/16 $${please}\:{solve} \\ $$$$\int_{\mathrm{0}} ^{\infty} {f}\left({x}\right){dx}={g}\left({x}\right) \\ $$ Commented by Yozzias last updated on 28/Oct/16 $$\mathrm{Impossible}\:\mathrm{unless}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}\right)=\mathrm{0}\:\forall\mathrm{x}\in\mathbb{R}.\:\mathrm{The}\:\mathrm{definite}\: \\…
Question Number 8789 by tawakalitu last updated on 27/Oct/16 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{2xy}\:+\:\mathrm{y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2xy}} \\ $$ Commented by Yozzias last updated on 27/Oct/16 $$\mathrm{Let}\:\mathrm{y}=\mathrm{ux}\Rightarrow\mathrm{y}'=\mathrm{u}+\mathrm{xu}' \\…
Question Number 74142 by MASANJAJ last updated on 19/Nov/19 Answered by Rio Michael last updated on 19/Nov/19 $$\:{T}_{\mathrm{7}} \:=\:{a}\:+\:\mathrm{6}{d}\:=\:\mathrm{6}\:−−−\left(\mathrm{1}\right) \\ $$$${T}_{\mathrm{18}} \:=\:{a}\:+\:\mathrm{17}{d}\:=\:\mathrm{22}−−−\left(\mathrm{2}\right) \\ $$$$\:{eqn}\left(\mathrm{2}\right)\:−\:{eqn}\left(\mathrm{1}\right)\:\Rightarrow\:\mathrm{11}{d}\:=\:\mathrm{16} \\…
Question Number 8515 by Basant007 last updated on 14/Oct/16 $$\mathrm{solve}\:\:\mathrm{y}=\mathrm{px}+\mathrm{p}^{\mathrm{3}} ,\:\mathrm{p}=\frac{\mathrm{dy}}{\mathrm{dx}} \\ $$ Commented by prakash jain last updated on 14/Oct/16 $$\mathrm{differentiaing} \\ $$$${p}={p}+{x}\frac{{dp}}{{dx}}+\mathrm{3}{p}^{\mathrm{2}} \frac{{dp}}{{dx}}…
Question Number 139426 by I want to learn more last updated on 26/Apr/21 Answered by physicstutes last updated on 26/Apr/21 $$\mathrm{1}.\:\:{x}\frac{{dy}}{{dx}}\:=\:{x}^{\mathrm{2}} +{y} \\ $$$${y}\:=\:{x}^{\mathrm{2}} +{cx}\:\Rightarrow\:\frac{{dy}}{{dx}}\:=\:\mathrm{2}{x}\:+\:{c}…
Question Number 139159 by rs4089 last updated on 23/Apr/21 $${solve}\:{PDE}\:\:\:\:\:\:\:\:\:{py}^{\mathrm{3}} +{qx}^{\mathrm{2}} =\mathrm{0}\:\: \\ $$ Commented by Dwaipayan Shikari last updated on 23/Apr/21 $$\frac{\partial^{\mathrm{3}} {f}\left({x},{y}\right)}{\partial{y}^{\mathrm{3}} }+\frac{\partial^{\mathrm{2}}…