Category: Differential Equation

Question Number 127505 by bramlexs22 last updated on 30/Dec/20 $$({\mathrm{y}}^2+{2\mathrm{x}}^2\mathrm{y})\mathrm{dx}+({2\mathrm{x}}^3-\mathrm{xy})\mathrm{dy}=0$$ Answered by liberty last updated on 30/Dec/20 $$\:\frac{{dy}}{{dx}}\:=\:\frac{{y}^{\mathrm{2}} +\mathrm{2}{x}^{\mathrm{2}} {y}}{{xy}−\mathrm{2}{x}^{\mathrm{3}}…

Question Number 127369 by liberty last updated on 29/Dec/20 $$(x-3y+5)dx+(2x+5y+4)dy=0$$ Answered by bemath last updated on 29/Dec/20 Terms of Service Privacy Policy Contact:…

Question Number 127291 by bemath last updated on 28/Dec/20 $$(D^3-5D^2+7D-3)y=e^{2x}\cosh x$$ Answered by liberty last updated on 28/Dec/20 $$\:{note}\:{that}\:{e}^{\mathrm{2}{x}} \:\mathrm{cosh}\:{x}\:=\:\frac{{e}^{\mathrm{3}{x}} +{e}^{{x}}…

Question Number 127260 by bramlexs22 last updated on 28/Dec/20 $$(x^2-1)y^{″}-2{xy}^{\prime }+2y={(x^2-1)}^2$$ Answered by liberty last updated on 28/Dec/20 $$lety=xzforsomez=z\left(x\right)$$$${y}'={xz}'+{z}\:\wedge\:{y}''={xz}''+\mathrm{2}{z}' \…

Question Number 127064 by benjo_mathlover last updated on 26/Dec/20 $$(D^2-1)y=x\sin x$$ Answered by liberty last updated on 26/Dec/20 $$Thecharacteristiceqof(D^2-1)y=0$$$${is}\:\lambda^{\mathrm{2}} −\mathrm{1}=\mathrm{0}\:,\:{has}\:{the}\:{roots}\:\lambda=\pm\mathrm{1}…