Internal problem ID [12564]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.2. page
33
Problem number: 23.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {w^{\prime }-\frac {w}{t}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve(diff(w(t),t)=w(t)/t,w(t), singsol=all)
\[ w \left (t \right ) = c_{1} t \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 14
DSolve[w'[t]==w[t]/t,w[t],t,IncludeSingularSolutions -> True]
\begin{align*} w(t)\to c_1 t w(t)\to 0 \end{align*}