71.3.11 problem 6

Internal problem ID [14361]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number : 6
Date solved : Tuesday, January 28, 2025 at 06:27:39 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: 0.035 (sec). Leaf size: 28

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

\[ y(x)\to e^x \left (\int _1^xe^{-K[1]} K[1]dK[1]+c_1\right ) \]