72.1.20 problem 23

Internal problem ID [14620]
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
Date solved : Tuesday, January 28, 2025 at 06:44:47 AM
CAS classification : [_separable]

\begin{align*} w^{\prime }&=\frac {w}{t} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 7

dsolve(diff(w(t),t)=w(t)/t,w(t), singsol=all)
 

\[ w = c_{1} t \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 14

DSolve[D[w[t],t]==w[t]/t,w[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} w(t)\to c_1 t \\ w(t)\to 0 \\ \end{align*}