Internal problem ID [1942]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {t}{t^{2}+4}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 14
dsolve(diff(y(t),t)=t/(t^2+4),y(t), singsol=all)
\[ y \relax (t ) = \frac {\ln \left (t^{2}+4\right )}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 18
DSolve[y'[t]==t/(t^2+4),y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {1}{2} \log \left (t^2+4\right )+c_1 \\ \end{align*}