Internal problem ID [14301]
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: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{2}+2 t y y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 32
dsolve(y(t)^2+2*t*y(t)*diff(y(t),t)=0,y(t), singsol=all)
\begin{align*} y \left (t \right ) &= 0 \\ y \left (t \right ) &= \frac {\sqrt {-c_{1} t}}{t} \\ y \left (t \right ) &= -\frac {\sqrt {-c_{1} t}}{t} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 23
DSolve[y[t]^2+2*t*y[t]*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 0 \\ y(t)\to \frac {c_1}{\sqrt {t}} \\ y(t)\to 0 \\ \end{align*}