Identify the Type of an ODE - Maple Programming Help

Identify the Type of an ODE



 Description Use the odeadvisor command to determine the type of an ODE.

Identify Type of ODE

ODE

 >
 $\frac{{{ⅆ}}^{{2}}}{{ⅆ}{{x}}^{{2}}}{}{y}{}\left({x}\right){+}{4}{}\left(\frac{{ⅆ}}{{ⅆ}{x}}{}{y}{}\left({x}\right)\right){+}{3}{}{y}{}\left({x}\right){=}{0}$ (1)

Analysis

 > $\mathrm{DEtools}\left[\mathrm{odeadvisor}\right]\left(\right)$
 $\left[\left[{\mathrm{_2nd_order}}{,}{\mathrm{_missing_x}}\right]\right]$ (2)

Maple's Solution Process

 >
 Methods for second order ODEs: --- Trying classification methods --- trying a quadrature checking if the LODE has constant coefficients <- constant coefficients successful
 ${y}{}\left({x}\right){=}{\mathrm{_C1}}{}{{ⅇ}}^{{-}{x}}{+}{\mathrm{_C2}}{}{{ⅇ}}^{{-}{3}{}{x}}$ (3)



 Commands Used