Internal problem ID [14334]
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: 51.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, _Bernoulli]
\[ \boxed {2 t y+y^{2}-t^{2} y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve((2*t*y(t)+y(t)^2)-(t^2)*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {t^{2}}{-t +c_{1}} \]
✓ Solution by Mathematica
Time used: 0.127 (sec). Leaf size: 23
DSolve[(2*t*y[t]+y[t]^2)-(t^2)*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {t^2}{t-c_1} \\ y(t)\to 0 \\ \end{align*}