Category: Differential Equation

Question Number 161272 by Ar Brandon last updated on 15/Dec/21 $$\mathrm{Solve}\mathrm{the}\mathrm{differential}\mathrm{systeme}\left(\mathrm{\Sigma }\right)\mathrm{below}:$$$$\left(\mathrm{\Sigma }\right)\{\begin{array}{l}\stackrel{.}{x}\left(t\right)=x\left(t\right)+2y\left(t\right)+t\\ \stackrel{.}{y}\left(t\right)=-4x\left(t\right)-3y\left(t\right)\end{array}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 95677 by Rio Michael last updated on 26/May/20 $$\mathrm{Given}f\left(x\right)=\frac{\ln x}{x-1}$$$$\left(\mathrm{a}\right)\mathrm{find}\mathrm{the}\mathrm{domain}\mathrm{of}f.$$$$\left(\mathrm{b}\right)\mathrm{find}\mathrm{the}\mathrm{limts}\mathrm{of}f\mathrm{at}\mathrm{the}\mathrm{boundary}\mathrm{of}\mathrm{its}\mathrm{domain}$$$$\mathrm{hence}\mathrm{state}\mathrm{the}\mathrm{asymptote}\mathrm{of}y=f\left(x\right).$$ Answered by mathmax by abdo last…

Question Number 160903 by blackmamba last updated on 08/Dec/21 $$(1+x^2)y{}^{\prime }=2xy+{(1+x^2)}^2$$ Answered by GuruBelakangPadang last updated on 09/Dec/21 $$\:\left(\mathrm{1}+{x}^{\mathrm{2}} \right){y}\:'=\:\left(\mathrm{1}+{x}^{\mathrm{2}} \right)'{y}\:+\left(\mathrm{1}+{x}^{\mathrm{2}}…

Question Number 95119 by Mr.D.N. last updated on 27/May/20 $$\mathrm{Solve}\mathrm{the}\mathrm{differential}\mathrm{equations}:-$$$$★.(\mathrm{x}\sin \mathrm{x}+\cos \mathrm{x})\frac{{\mathrm{d}}^2\mathrm{y}}{{\mathrm{dx}}^2}-\mathrm{x}\cos \mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{y}\cos \mathrm{x}=0.$$ Answered by niroj last updated on 23/May/20 $$\:\:\mathrm{2}.\:\left(\mathrm{x}\:\mathrm{sin}\:\mathrm{x}\:+\:\mathrm{cos}\:\mathrm{x}\:\right)\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}}…

Question Number 95068 by Mr.D.N. last updated on 23/May/20 $$\mathrm{Solve}\mathrm{the}\mathrm{differential}\mathrm{equations}-:$$$$1.\frac{\mathrm{dy}}{\mathrm{dx}}=\sin (\mathrm{x}+\mathrm{y})+\cos (\mathrm{x}+\mathrm{y})$$$$$$ Commented by EmericGent last updated on 22/May/20 Would be easy with cos(x-y) instead of cos(x+y) Commented…