Internal problem ID [14529]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.3, page 156
Problem number: 23.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=3 t^{4}-2 t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t$2)=3*t^4-2*t,y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{10} t^{6}-\frac {1}{3} t^{3}+\frac {5}{18}+c_{1} t +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 26
DSolve[y''[t]==3*t^4-2*t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t^6}{10}-\frac {t^3}{3}+c_2 t+c_1 \]