Category: Differential Equation

Question Number 124701 by Ali85 last updated on 05/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 124634 by bemath last updated on 05/Dec/20 $$Solvetheequation\frac{{\partial }^{2}z}{\partial x\partial y}=x^{2}y$$$$\left(1\right)particularsolutionwhich$$$$z(x,0)=x^{2}andz(1,y)=\cos y$$$$$$ Answered by liberty last…

Question Number 59037 by Rdk96 last updated on 03/May/19 $$solve\frac{dy}{dt}=t^2+y^2$$ Commented by tanmay last updated on 04/May/19 $$uniqueproblem\dots stilltryingtofindtheway$$$$toproceedfurther\dots$$…

Question Number 124050 by john_santu last updated on 30/Nov/20 $$(6x+y^2)dx+y(2xy-3y^2)dy=0$$ Answered by mohammad17 last updated on 30/Nov/20 $${M}=\mathrm{6}{x}+{y}^{\mathrm{2}} \rightarrow{M}_{{y}} =\mathrm{2}{y}\rightarrow\left(\ast\right) \…

Question Number 123983 by Ar Brandon last updated on 29/Nov/20 $$\mathrm{Consider}\mathrm{the}\mathrm{real}\mathrm{number}\mathrm{c}\mathrm{and}\mathrm{the}\mathrm{DE}\left(\mathrm{H}\right)\mathrm{below}$$$${\mathrm{y}}^{″}+{2\mathrm{y}}^{\prime }+\mathrm{cy}=0$$$$\mathrm{a}\mathrm{\setminus }\mathrm{Given}\mathrm{c}=3.\mathrm{Rewrite}\mathrm{and}\mathrm{resolve}\mathrm{in}\mathrm{this}\mathrm{case}\mathrm{the}\mathrm{equation}\left(\mathrm{H}\right)$$$$\mathrm{b}\mathrm{\setminus }\mathrm{for}\mathrm{c}=1,\mathrm{Rewrite}\mathrm{and}\mathrm{resolve}\mathrm{in}\mathrm{this}\mathrm{case}\mathrm{the}\mathrm{equation}\left(\mathrm{H}\right)$$$$\mathrm{c}\mathrm{\setminus }\mathrm{for}\mathrm{c}=10;$$$$\mathrm{i}.\mathrm{Rewrite}\mathrm{and}\mathrm{resolve}\mathrm{in}\mathrm{this}\mathrm{case}\mathrm{the}\mathrm{equation}\left(\mathrm{H}\right)$$$$\mathrm{ii}.\mathrm{Determine}\mathrm{the}\mathrm{limit}\mathrm{at}+\mathrm{\infty }\mathrm{of}\mathrm{the}\mathrm{general}\mathrm{solution}\mathrm{of}\mathrm{this}\mathrm{DE}.$$$$\:\:\mathrm{iii}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{verifying}\:\mathrm{the}\:\mathrm{initial}\:\mathrm{conditions}:\mathrm{y}\left(\mathrm{0}\right)=\mathrm{0}…