Learning Guide Learning Guide

6.3 Partial Differential Equations • 261sol3 := proc(x_rkf45 ) . . . end procAgain, use the odeplot command in the plots package to plot the result.> with(plots, odeplot):> odeplot( sol3, [t, y(t)], 0..4 );76y 5430 1 2 3 4tThe DEtools package contains commands that can help you investigate,manipulate, plot, and solve differential equations. For details, referto ?DEtools.6.3 Partial Differential EquationsPartial differential equations (PDEs) are in general very difficult to solve.Maple provides a number of commands for solving, manipulating, andplotting PDEs. Some of these commands are in the standard library, butmost of them reside in the PDEtools package.The pdsolve CommandThe pdsolve command can solve many partial differential equations. Thisis the basic syntax of the pdsolve command.pdsolve( pde, var )Here pde is the partial differential equation and var is the variable forwhich you want Maple to solve.The following is the one-dimensional wave equation.