Internal problem ID [1938]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-t^{2}-3=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(t),t)=t^2+3,y(t), singsol=all)
\[ y \relax (t ) = \frac {1}{3} t^{3}+3 t +c_{1} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 18
DSolve[y'[t]==t^2+3,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {t^3}{3}+3 t+c_1 \\ \end{align*}