1.12 problem 12

Internal problem ID [7401]

Book: Second order enumerated odes
Section: section 1
Problem number: 12.
ODE order: 2.
ODE degree: 1.

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

\[ \boxed {y^{\prime \prime }+y^{\prime }=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

dsolve(diff(y(x),x$2)+diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} +c_{2} {\mathrm e}^{-x} \]

Solution by Mathematica

Time used: 0.01 (sec). Leaf size: 17

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

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