13.2.16 problem 20

Internal problem ID [2314]
Book : Differential equations and their applications, 3rd ed., M. Braun
Section : Section 1.2. Page 9
Problem number : 20
Date solved : Monday, January 27, 2025 at 05:45:27 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }+\frac {y}{t}&=\frac {1}{t^{2}} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(diff(y(t),t)+1/t*y(t)=1/t^2,y(t), singsol=all)
 

\[ y = \frac {\ln \left (t \right )+c_1}{t} \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 14

DSolve[D[y[t],t]+1/t*y[t]==1/t^2,y[t],t,IncludeSingularSolutions -> True]
 

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