Internal problem ID [14357]
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: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, _Bernoulli]
\[ \boxed {\frac {1}{y}+\frac {t y^{\prime }}{y^{2}}=-\frac {2}{t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(( 2/t+1/y(t))+(t/y(t)^2)*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {t}{c_{1} t^{2}-1} \]
✓ Solution by Mathematica
Time used: 0.132 (sec). Leaf size: 22
DSolve[( 2/t+1/y[t])+(t/y[t]^2)*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {t}{-1+c_1 t^2} \\ y(t)\to 0 \\ \end{align*}