17.1.5 problem 1.1-2 (e)

Internal problem ID [3422]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-2, page 6
Problem number : 1.1-2 (e)
Date solved : Monday, January 27, 2025 at 07:36:15 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\frac {t}{t^{2}+4} \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(t),t)=t/(t^2+4),y(t), singsol=all)
 

\[ y = \frac {\ln \left (t^{2}+4\right )}{2}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 18

DSolve[D[y[t],t]==t/(t^2+4),y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {1}{2} \log \left (t^2+4\right )+c_1 \]