Category: Differential Equation

Question Number 198286 by samiksha last updated on 16/Oct/23 $$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 197389 by uchihayahia last updated on 16/Sep/23 $$$$$$pleasecheckmyanswer$$$$(x-2y+5)dx+(2x-y+4)dy=0$$$$X=x+a\mathrm{\&}Y=y+b$$$$$$$$(X-a-2Y+2b+5)dX+(2X-2a-Y+b+4)dY=0$$$$-a+2b=-5$$$$\:-\mathrm{2}{a}+{b}=-\mathrm{4} \…

Question Number 196934 by Amidip last updated on 03/Sep/23 Answered by aleks041103 last updated on 04/Sep/23 $$M(x,y)dx+N(x,y)dy=0$$$$if{\partial }_{y}M={\partial }_{x}N,then\mathrm{\exists }F(x,y):$$$$M(x,y)dx+N(x,y)dy=dF=0\Rightarrow F=const.$$$${in}\:{our}\:{case}\:\partial_{{y}}…

Question Number 196199 by Frix last updated on 19/Aug/23 $$\mathrm{Solve}:$$$$y^{‴}=\frac{3y^{\prime }{\left(y^{″}\right)}^2}{1+{\left(y^{\prime }\right)}^2}$$ Answered by aleks041103 last updated on 20/Aug/23 $$\left({ln}\left({y}''\right)\right)'=\frac{{y}'''}{{y}''}=\frac{\mathrm{3}{y}'{y}''}{\mathrm{1}+\left({y}'\right)^{\mathrm{2}} }=\frac{\mathrm{3}}{\mathrm{2}}\:\frac{\left(\left({y}'\right)^{\mathrm{2}}…

Question Number 195301 by SajaRashki last updated on 29/Jul/23 $$\{\begin{array}{l}{x}^2+y=11\\ x+y^2=7\end{array}\Rightarrow x,y=?$$ Answered by AST last updated on 30/Jul/23 $${y}=\mathrm{11}−{x}^{\mathrm{2}} \Rightarrow\left(\mathrm{11}−{x}^{\mathrm{2}} \right)^{\mathrm{2}} =\mathrm{7}−{x}…\left({i}\right)…