50.17.12 problem 1(f) solving directly

Internal problem ID [8083]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of First-Order Differential Equations Page 162
Problem number : 1(f) solving directly
Date solved : Monday, January 27, 2025 at 03:43:23 PM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-y&=x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 18

dsolve(diff(y(x),x)-y(x)=x^2,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 21

DSolve[D[y[x],x]-y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
 

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