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]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {y}{t}-\frac {1}{t^{2}}=0} \end {gather*}
✓ 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)
\[ y \relax (t ) = \frac {\ln \relax (t )+c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 14
DSolve[y'[t]+1/t*y[t]==1/t^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {\log (t)+c_1}{t} \\ \end{align*}