74.6.52 problem 59 (i)

Internal problem ID [16075]
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)
Date solved : Tuesday, January 28, 2025 at 08:36:40 AM
CAS classification : [_quadrature]

\begin{align*} 2 t +2 y+\left (2 t +2 y\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (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 &= -t \\ y &= -c_{1} -t \\ y &= -t +c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 18

DSolve[(2*t+2*y[t])+(2*t+2*y[t])*D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -t \\ y(t)\to -t+c_1 \\ \end{align*}