1.31 problem 31

Internal problem ID [7420]

Book: Second order enumerated odes
Section: section 1
Problem number: 31.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {y^{\prime \prime }+y^{\prime }=1} \]

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: 0.012 (sec). Leaf size: 18

DSolve[y''[x]+y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x-c_1 e^{-x}+c_2 \]