Higher order equations such as second-order linear equations can be solved. The following commands solve x″+2x′+x=sint. We can specify initial conditions for second-order linear equations. The following commands solve x″+2x′+x=sint, x(0)=1, x′(0)=0. Implicit solutions are returned for separable differential equations. Consider the solution to cosx dydx=tanx.

Numerical methods, see
http://doc.sagemath.org/html/en/reference/calculus/sage/calculus/desolvers.html
http://fe.math.kobe-u.ac.jp/icms2010-dvd/SAGE/www.sagemath.org/doc/reference/sage/calculus/desolvers.html
https://www.youtube.com/watch?v=1tzQzFVNMOs
https://share.cocalc.com/share/a170dcd310ae7ea835c8e377659376f4b3621b01/Euler%27s%20Method.sagews?viewer=share