17.1.1 problem 1.1-2 (a)

Internal problem ID [3418]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-2, page 6
Problem number : 1.1-2 (a)
Date solved : Monday, January 27, 2025 at 07:36:11 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=t^{2}+3 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 14

dsolve(diff(y(t),t)=t^2+3,y(t), singsol=all)
 

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

✓ Solution by Mathematica

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

DSolve[D[y[t],t]==t^2+3,y[t],t,IncludeSingularSolutions -> True]
 

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