36.2.11 problem 11

Internal problem ID [6304]
Book : Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson 2018.
Section : Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page 54
Problem number : 11
Date solved : Monday, January 27, 2025 at 01:55:34 PM
CAS classification : [[_linear, `class A`]]

\begin{align*} t +y+1-y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve((t+y(t)+1)-diff(y(t),t)=0,y(t), singsol=all)
 

\[ y = -t -2+c_{1} {\mathrm e}^{t} \]

✓ Solution by Mathematica

Time used: 0.066 (sec). Leaf size: 16

DSolve[(t+y[t]+1)-D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to -t+c_1 e^t-2 \]