Internal problem ID [14341]
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: 59 (i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {2 y+\left (2 t +2 y\right ) y^{\prime }=-2 t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve((2*t+2*y(t))+(2*t+2*y(t))*diff(y(t),t)=0,y(t), singsol=all)
\begin{align*} y \left (t \right ) &= -t \\ y \left (t \right ) &= -c_{1} -t \\ y \left (t \right ) &= -t +c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 18
DSolve[(2*t+2*y[t])+(2*t+2*y[t])*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -t \\ y(t)\to -t+c_1 \\ \end{align*}