Internal problem ID [15205]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 14. Differential equations admitting of
depression of their order. Exercises page 107
Problem number: 347.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+y^{\prime }=-2} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = -2] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 7
dsolve([diff(y(x),x$2)+diff(y(x),x)+2=0,y(0) = 0, D(y)(0) = -2],y(x), singsol=all)
\[ y = -2 x \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 8
DSolve[{y''[x]+y'[x]+2==0,{y[0]==0,y'[0]==-2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -2 x \]