8.2.2 problem 2

Internal problem ID [662]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.3. Slope fields and solution curves. Page 26
Problem number : 2
Date solved : Monday, January 27, 2025 at 02:56:51 AM
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: 0.022 (sec). Leaf size: 16

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

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