Internal problem ID [1951]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-4, page 7
Problem number: 1.1-4 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {y}{t}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 7
dsolve(diff(y(t),t)=y(t)/t,y(t), singsol=all)
\[ y \relax (t ) = t c_{1} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 14
DSolve[y'[t]==y[t]/t,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to c_1 t \\ y(t)\to 0 \\ \end{align*}