Internal problem ID [13535]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 14. Higher order equations and the reduction of order method. Additional
exercises page 277
Problem number: 14.1 (j).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x], [_3rd_order, _with_linear_symmetries]]
✗ Solution by Maple
dsolve(y(x)*diff(y(x),x$3)+6*diff(y(x),x$2)+3*diff(y(x),x)=y(x),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]*y'''[x]+6*y''[x]+3*y'[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
Not solved