Question Number 18800 by tawa tawa last updated on 29/Jul/17 $$\mathrm{Solve}:\:\:\mathrm{x}\:\mathrm{sin}\left(\mathrm{y}\right)\mathrm{dx}\:+\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}\:\mathrm{cos}\left(\mathrm{y}\right)\mathrm{dy}\:=\:\mathrm{0},\:\:\mathrm{subject}\:\mathrm{to}\:\mathrm{y}\left(\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84232 by niroj last updated on 10/Mar/20 $$\:\:\boldsymbol{\mathrm{Solve}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{following}}\:\boldsymbol{\mathrm{differential}}\:\boldsymbol{\mathrm{equation}}. \\ $$$$\:\:\frac{\boldsymbol{\mathrm{d}}^{\mathrm{2}} \boldsymbol{\mathrm{y}}}{\boldsymbol{\mathrm{dx}}^{\mathrm{2}} }\:+\:\frac{\boldsymbol{\mathrm{x}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\:\frac{\boldsymbol{\mathrm{dy}}}{\boldsymbol{\mathrm{dx}}}−\:\frac{\boldsymbol{\mathrm{y}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }=\:\boldsymbol{\mathrm{x}}\sqrt{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} } \\ $$ Commented by mind is power last…
Question Number 149757 by iloveisrael last updated on 07/Aug/21 Commented by amin96 last updated on 07/Aug/21 $${x}\frac{{dy}}{{dx}}+\mathrm{2}{y}=\frac{{sinx}}{{x}}\:\:\:\:\:\:\frac{{dy}}{{dx}}=\frac{\mathrm{sin}\:{x}−\mathrm{2}{xy}}{{x}^{\mathrm{2}} } \\ $$$$\left(\mathrm{sin}\:{x}−\mathrm{2}{xy}\right){dx}+\left(−{x}^{\mathrm{2}} \right){dy}=\mathrm{0} \\ $$$$\frac{\partial{M}}{\partial{y}}=−\mathrm{2}{x}\:\:\:\:\:\:\:\frac{\partial{N}}{\partial{x}}=−\mathrm{2}{x}\:\:\:\:\:\:{M}_{{y}} ={N}_{{x}} \:\:\:…
Question Number 84212 by jagoll last updated on 10/Mar/20 $$\mathrm{y}'\:=\:\left(\mathrm{2x}+\mathrm{3y}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\: \\ $$ Commented by niroj last updated on 10/Mar/20 $$\:\:\frac{\mathrm{dy}}{\mathrm{dx}}=\:\left(\mathrm{2x}+\mathrm{3y}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\:\mathrm{put},\:\:\mathrm{2x}+\mathrm{3y}+\mathrm{1}=\mathrm{v} \\…
Question Number 84085 by M±th+et£s last updated on 09/Mar/20 $${solve} \\ $$$$\frac{{d}}{{dr}}\left({r}\frac{{d}\theta}{{dr}}\right)=\mathrm{0} \\ $$ Answered by TANMAY PANACEA last updated on 09/Mar/20 $$\frac{{d}}{{dr}}\left({r}\frac{{d}\theta}{{dr}}\right)=\mathrm{0}=\frac{{dA}}{{dr}}\:\:{A}={constant} \\ $$$${r}\frac{{d}\theta}{{dr}}={A}…
Question Number 83644 by M±th+et£s last updated on 04/Mar/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83619 by Jidda28 last updated on 04/Mar/20 $${Show}\:{that}\:{the}\:{differetial}\:{equation}\:{is}\:{a}\:{Sturm}−{Louville}\:{equation} \\ $$$$\left({x}^{−\mathrm{1}} {y}^{\mathrm{1}} \right)^{\mathrm{1}} +\left(\mathrm{4}+\lambda\right){x}^{−\mathrm{3}} {y}=\mathrm{0},\:\:{y}\left(\mathrm{1}\right)=\mathrm{0},{y}\left(\varrho^{{t}} \right)=\mathrm{0} \\ $$$${Solve}\:{the}\:{equation}\:{to}\:{determine}\:{the}\:{eigenvalue}\:{and}\:{the}\:{corresponding}\:{eigen}\:{functions}\:{of}\:{the}\:{problem}. \\ $$$${Show}\:{also}\:{that}\:{the}\:{set}\:{of}\:{eigen}\:{function}\:{forms}\:{and}\:{orthogonal}\:{and}\:{orthonormal}\:{set}. \\ $$$$ \\ $$$${Thanks}\:{as}\:{usual}.…
Question Number 83565 by Jidda28 last updated on 03/Mar/20 Commented by abdomathmax last updated on 04/Mar/20 $${I}=\int_{−\infty} ^{+\infty} \:\frac{{e}^{\mathrm{2}{x}} }{{e}^{\mathrm{3}{x}} \:+\mathrm{1}}{dx}\:{changement}\:{e}^{{x}} ={t}\:{give} \\ $$$${I}\:\:=\int_{\mathrm{0}} ^{+\infty}…
Question Number 83558 by Jidda28 last updated on 03/Mar/20 Commented by Jidda28 last updated on 03/Mar/20 $${help}\:{me}\:{out}\:{pls}. \\ $$ Commented by mathmax by abdo last…
Question Number 83559 by Jidda28 last updated on 03/Mar/20 Commented by Jidda28 last updated on 03/Mar/20 $${help}\:{me}\:{out}\:{pls}. \\ $$ Answered by mind is power last…