74.5.36 problem 38 (b)

Internal problem ID [16000]
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 : 38 (b)
Date solved : Tuesday, January 28, 2025 at 08:26:09 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }-\frac {y}{t}&=\ln \left (t \right ) \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 14

dsolve(diff(y(t),t)-1/t*y(t)=ln(t),y(t), singsol=all)
 

\[ y = \left (\frac {\ln \left (t \right )^{2}}{2}+c_{1} \right ) t \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 19

DSolve[D[y[t],t]-1/t*y[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {1}{2} t \left (\log ^2(t)+2 c_1\right ) \]