Category: Differential Equation

Question Number 128667 by sarahvalencia last updated on 09/Jan/21 Commented by liberty last updated on 09/Jan/21 $$\left(1\right){\mathrm{a}}^2\mathrm{da}+2\mathrm{ab}\mathrm{db}+{\mathrm{b}}^2\mathrm{da}=0$$$$\mathrm{d}\left({\mathrm{ab}}^2\right)+{\mathrm{a}}^2\mathrm{da}=0$$$$\:\:\:\:\:\:\int\:\mathrm{d}\left(\mathrm{ab}^{\mathrm{2}}…

Question Number 128579 by john_santu last updated on 08/Jan/21 $$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{x}}{{\mathrm{xy}}^2+\mathrm{y}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 128432 by bemath last updated on 07/Jan/21 $$({3\mathrm{x}}^2+1){\mathrm{yy}}^{\prime }+{3\mathrm{xy}}^2=\cos \mathrm{x}.{\mathrm{e}}^{\sin \mathrm{x}}$$ Answered by liberty last updated on 07/Jan/21 $$\mathrm{let}\:\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{v}\left(\mathrm{x}\right)\Rightarrow\mathrm{2yy}'=\frac{\mathrm{dv}}{\mathrm{dx}} \…

Question Number 128395 by bramlexs22 last updated on 06/Jan/21 $$\frac{dy}{dx}=\left(\frac{x}{y}\right)\ln \left(\frac{x}{y}\right)$$ Answered by mr W last updated on 07/Jan/21 $$letx=yu$$$$\frac{dx}{dy}=u+y\frac{du}{dy}$$$$\mathrm{1}=\left({u}+{y}\frac{{du}}{{dy}}\right){u}\mathrm{ln}\:{u}…

Question Number 128205 by john_santu last updated on 05/Jan/21 $$\mathrm{solve}\frac{dy}{dx}+\frac{dx}{dy}=4x^2+3$$ Answered by mr W last updated on 05/Jan/21 $$\left({y}'\right)^{\mathrm{2}} −\left(\mathrm{4}{x}^{\mathrm{2}} +\mathrm{3}\right){y}'+\mathrm{1}=\mathrm{0} \…