Internal problem ID [14134]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } t -y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve(t*diff(y(t),t)=y(t),y(t), singsol=all)
\[ y \left (t \right ) = c_{1} t \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 14
DSolve[t*y'[t]==y[t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to c_1 t \\ y(t)\to 0 \\ \end{align*}