72.2.23 problem 16 (viii)

Internal problem ID [14658]
Book : DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th edition. Brooks/Cole. Boston, USA. 2012
Section : Chapter 1. First-Order Differential Equations. Exercises section 1.3 page 47
Problem number : 16 (viii)
Date solved : Tuesday, January 28, 2025 at 06:46:43 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=t^{2}-2 \end{align*}

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 14

dsolve(diff(y(t),t)=t^2-2,y(t), singsol=all)
 

\[ y = \frac {1}{3} t^{3}-2 t +c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 18

DSolve[D[y[t],t]==t^2-2,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {t^3}{3}-2 t+c_1 \]