Internal problem ID [14350]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class D`], _rational, _Bernoulli]
\[ \boxed {y^{\prime }-\frac {y}{t}-t y^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(t),t)-1/t*y(t)=t*y(t)^2,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {3 t}{t^{3}-3 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.131 (sec). Leaf size: 23
DSolve[y'[t]-1/t*y[t]==t*y[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {3 t}{t^3-3 c_1} \\ y(t)\to 0 \\ \end{align*}