Category: Differential Equation

Question Number 93059 by Ar Brandon last updated on 10/May/20 $${\mathrm{y}}^{{}^{\prime }}+2\mathrm{xy}=\cos \mathrm{x}+2\mathrm{x}\sin \mathrm{x}$$ Answered by TANMAY PANACEA … last updated on 10/May/20 $${dy}+\mathrm{2}{xydx}={cosxdx}+\mathrm{2}{xsinxdx} \…

Question Number 92860 by i jagooll last updated on 09/May/20 $$\sqrt{1-{\mathrm{x}}^2}{\sin }^{-1}\left(\mathrm{x}\right)\mathrm{dy}+\mathrm{y}\mathrm{dx}=0$$ Commented by john santu last updated on 09/May/20 $$\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\:\mathrm{sin}^{−\mathrm{1}}…

Question Number 92838 by i jagooll last updated on 09/May/20 $$(\mathrm{x}+\mathrm{y})\frac{\mathrm{dy}}{\mathrm{dx}}={\mathrm{x}}^2+\mathrm{xy}+\mathrm{x}+1$$ Commented by john santu last updated on 09/May/20 $$(\mathrm{x}+\mathrm{y})\frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{x}(\mathrm{x}+\mathrm{y})+\mathrm{x}+1$$$$\mathrm{set}\:\mathrm{x}+\mathrm{y}\:=\:\mathrm{v}\:\Rightarrow\mathrm{1}+\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{dv}}{\mathrm{dx}}…

Question Number 158309 by cortano last updated on 02/Nov/21 $$y^{″}+y^{\prime }-2y=-18{te}^{-2t}$$ Answered by TheSupreme last updated on 02/Nov/21 $${\lambda }^2+\lambda -2=0$$$$\lambda_{\mathrm{1},\mathrm{2}} =−\frac{\mathrm{1}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{9}}}{\mathrm{2}}=−\mathrm{2},\:\mathrm{1} \…

Question Number 27028 by sorour87 last updated on 01/Jan/18 $$y^{\left(2\right)}+4y=\sinh x\times \sin 2x$$ Answered by prakash jain last updated on 02/Jan/18 $${\lambda }^2+4=0$$$$\lambda=\pm\mathrm{2}{i}…