Internal problem ID [5337]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 6. Existence and uniqueness of solutions to systems and nth order equations. Page
238
Problem number: 1(a).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+y^{\prime }-1=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x$2)+diff(y(x),x)=1,y(x), singsol=all)
\[ y \left (x \right ) = -{\mathrm e}^{-x} c_{1} +x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 18
DSolve[y''[x]+y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x-c_1 e^{-x}+c_2 \\ \end{align*}