Internal problem ID [1664]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.2. Page 9
Problem number: 20.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {y}{t}=\frac {1}{t^{2}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)+1/t*y(t)=1/t^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {\ln \left (t \right )+c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 14
DSolve[y'[t]+1/t*y[t]==1/t^2,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {\log (t)+c_1}{t} \]