Internal problem ID [14331]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number: 48.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {t^{2} y+y^{\prime } t^{3}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve((t^2*y(t))+(t^3)*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 16
DSolve[(t^2*y[t])+(t^3)*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {c_1}{t} \\ y(t)\to 0 \\ \end{align*}