8.2.5 problem 5

Internal problem ID [665]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.3. Slope fields and solution curves. Page 26
Problem number : 5
Date solved : Monday, January 27, 2025 at 02:56:55 AM
CAS classification : [[_linear, `class A`]]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

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

\[ y = x +{\mathrm e}^{x} c_1 \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 13

DSolve[D[y[x],x] == 1-x+y[x],y[x],x,IncludeSingularSolutions -> True]
 

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