74.7.23 problem 23

Internal problem ID [16100]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number : 23
Date solved : Tuesday, January 28, 2025 at 08:40:42 AM
CAS classification : [_linear]

\begin{align*} t -y+y^{\prime } t&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve((t-y(t))+t*diff(y(t),t)=0,y(t), singsol=all)
 

\[ y = \left (-\ln \left (t \right )+c_{1} \right ) t \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 14

DSolve[(t-y[t])+t*D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to t (-\log (t)+c_1) \]