1.5 problem 1.1-2 (e)

Internal problem ID [2451]

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]

\[ \boxed {y^{\prime }=\frac {t}{t^{2}+4}} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 14

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

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

✓ Solution by Mathematica

Time used: 0.006 (sec). Leaf size: 18

DSolve[y'[t]==t/(t^2+4),y[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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