Internal problem ID [14637]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.5, page 175
Problem number: 17.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _quadrature]]
\[ \boxed {y^{\prime \prime \prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(t),t$3)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{2} c_{1} t^{2}+t c_{2} +c_{3} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 17
DSolve[y'''[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t (c_3 t+c_2)+c_1 \]