6.3 problem 3

Internal problem ID [12673]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.2, page 63
Problem number: 3.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }+y=1} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

dsolve([diff(y(x),x)=-y(x)+1,y(0) = 2],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.04 (sec). Leaf size: 12

DSolve[{y'[x]==-y[x]+1,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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