Description - Maple Programming Help

Direction Field for the ODE $y\prime =f\left(x,y\left(x\right)\right)$

 Description Plot the direction field and solutions of an ODE.

Direction Field for the ODE $y\prime =f\left(x,y\left(x\right)\right)$

ODE

 > $y\prime ={x}{+}{{y}}^{{2}}$
 $\frac{{ⅆ}}{{ⅆ}{x}}{}{y}{}\left({x}\right){=}{x}{+}{{y}{}\left({x}\right)}^{{2}}$ (1)

Set an $x$-range of the form $a..b$

 > ${0}{..}{1}$
 ${0}{..}{1}$ (2)

Set a $y$-range of the form $c..d$

 > ${0}{..}{1}$
 ${0}{..}{1}$ (3)

Direction Field

 >

Initial Points

 > $\left[\left[{0}{,}{0.2}\right]{,}\left[{0}{,}{0.4}\right]{,}\left[{0}{,}{0.6}\right]{,}\left[{0}{,}{0.8}\right]\right]$
 $\left[\left[{0}{,}{0.2}\right]{,}\left[{0}{,}{0.4}\right]{,}\left[{0}{,}{0.6}\right]{,}\left[{0}{,}{0.8}\right]\right]$ (4)

Direction Field with Solutions

 > $\mathrm{DEtools}\left[\mathrm{DEplot}\right]\left(,y\left(x\right),x=,y=,,\mathrm{linecolor}=\mathrm{black}\right)$

 Commands Used