Category: Differential Equation

Question Number 128106 by bemath last updated on 04/Jan/21 $${\mathrm{yy}}^{\prime }+\mathrm{b}(\mathrm{x}-\mathrm{a})=\frac{{\mathrm{ay}}^2}{1+{\mathrm{x}}^2}$$ Commented by mr W last updated on 05/Jan/21 $$onceiaskedthisquestiondueto$$$${Q}\mathrm{127997},\:{but}\:{then}\:{i}\:{could}\:{solve}\:{it}\:{myself}…

Question Number 127943 by liberty last updated on 03/Jan/21 $$\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{x}\cos {}^2(\mathrm{y}-\mathrm{x})=1$$ Answered by bramlexs22 last updated on 03/Jan/21 Terms of Service Privacy Policy…

Question Number 127780 by bemath last updated on 02/Jan/21 $$({\mathrm{x}}^2+{\mathrm{y}}^2+2\mathrm{x})\mathrm{dy}-2\mathrm{y}\mathrm{dx}=0$$$$\mathrm{y}\left(0\right)=1$$ Answered by liberty last updated on 02/Jan/21 $$\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{2y}}{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}}…

Question Number 127589 by bramlexs22 last updated on 31/Dec/20 Answered by liberty last updated on 31/Dec/20 $$(\bullet )\mathrm{let}{\mathrm{y}}^{\prime }=\mathrm{z}\Rightarrow {\mathrm{xz}}^{\prime }+\mathrm{z}={3\mathrm{x}}^2-\mathrm{x}$$$$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{xz}\right)={3\mathrm{x}}^2-\mathrm{x}$$$$\:\:\:\mathrm{xz}\:=\:\mathrm{x}^{\mathrm{3}} −\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}} \:+\mathrm{C}_{\mathrm{1}}…

Question Number 127520 by liberty last updated on 30/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com