Category: Differential Equation

Question Number 117602 by TANMAY PANACEA last updated on 12/Oct/20 $$\frac{d^{2}y}{{dx}^2}+a^{2}y=cosax$$ Answered by TANMAY PANACEA last updated on 12/Oct/20 $${y}={e}^{{mx}}…

Question Number 182936 by CHAGGY last updated on 17/Dec/22 $$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 51709 by sinx last updated on 29/Dec/18 $$y^{″}=2y\left(y^{\prime }\right)$$$$$$$$solvetheequation$$ Answered by mr W last updated on 29/Dec/18 $${y}''=\frac{{d}\left({y}'\right)}{{dx}}=\frac{{d}\left({y}'\right)}{{dy}}×\frac{{dy}}{{dx}}={y}'\frac{{d}\left({y}'\right)}{{dy}}…

Question Number 117228 by bemath last updated on 10/Oct/20 $$\left(\frac{x+y}{y-1}\right)dx-\frac{1}{2}{\left(\frac{x+1}{y-1}\right)}^{2}dy=0$$ Answered by TANMAY PANACEA last updated on 10/Oct/20 $$\left(\frac{x+y}{y-1}\right)dx-\frac{1}{2}{(\frac{x+y}{y-1}-1)}^{2}dy=0$$$$\left(\frac{{x}+{y}}{{y}−\mathrm{1}}\right){dx}−\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{{x}+{y}}{{y}−\mathrm{1}}\right)^{\mathrm{2}}…

Question Number 117029 by bemath last updated on 09/Oct/20 $$({\mathrm{x}}^2+{2\mathrm{y}}^2)\mathrm{dx}+(4\mathrm{xy}-{\mathrm{y}}^2)\mathrm{dy}=0$$ Answered by bemath last updated on 09/Oct/20 $$\mathrm{letting}\mathrm{y}=\phi \mathrm{x}\Rightarrow \mathrm{dy}=\phi \mathrm{dx}+\mathrm{x}\mathrm{d}\phi$$$$\Rightarrow\left(\mathrm{x}^{\mathrm{2}}…