74.5.7 problem 7

Internal problem ID [15971]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number : 7
Date solved : Tuesday, January 28, 2025 at 08:25:09 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

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

\[ y = \frac {t}{2}+\frac {c_{1}}{t} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 17

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

\[ y(t)\to \frac {t}{2}+\frac {c_1}{t} \]