74.4.9 problem 9

Internal problem ID [15902]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 08:18:06 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=\frac {y+2}{2 t +1} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 15

dsolve(diff(y(t),t)=(y(t)+2)/(2*t+1),y(t), singsol=all)
 

\[ y = \sqrt {2 t +1}\, c_{1} -2 \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 24

DSolve[D[y[t],t]==(y[t]+2)/(2*t+1),y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -2+c_1 \sqrt {2 t+1} \\ y(t)\to -2 \\ \end{align*}