8.2 problem 2

Internal problem ID [12700]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.4.4, page 115
Problem number: 2.
ODE order: 1.
ODE degree: 1.

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

\[ \boxed {y^{\prime }-y=x} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

dsolve([diff(y(x),x)=y(x)+x,y(0) = 0],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.042 (sec). Leaf size: 13

DSolve[{y'[x]==y[x]+x,{y[0]==0}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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