3.11 problem 6

Internal problem ID [12625]

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.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_linear, `class A`]]

\[ \boxed {y^{\prime }-y=x} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 13

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

\[ y \left (x \right ) = -x -1+c_{1} {\mathrm e}^{x} \]

✓ Solution by Mathematica

Time used: 0.04 (sec). Leaf size: 16

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

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