Internal problem ID [11650]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 5, Trivial differential equations. Exercises page 33
Problem number: 5.1 (iii).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {u^{\prime }=4 t \ln \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(u(t),t)=4*t*ln(t),u(t), singsol=all)
\[ u \left (t \right ) = 2 t^{2} \ln \left (t \right )-t^{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 20
DSolve[u'[t]==4*t*Log[t],u[t],t,IncludeSingularSolutions -> True]
\[ u(t)\to -t^2+2 t^2 \log (t)+c_1 \]