44.4.33 problem 15 (a)

Internal problem ID [7046]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.1 Solution curves without a solution. Exercises 2.1 at page 44
Problem number : 15 (a)
Date solved : Monday, January 27, 2025 at 02:42:22 PM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }&=x +y \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x)=x+y(x),y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 16

DSolve[D[y[x],x]==x+y[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -x+c_1 e^x-1 \]