Internal problem ID [15562]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 3. Section 24.2. Solving the Cauchy problem for linear differential equation with
constant coefficients. Exercises page 249
Problem number: 839.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {x^{\prime \prime }+x^{\prime }=0} \] With initial conditions \begin {align*} [x \left (0\right ) = 1, x^{\prime }\left (0\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.282 (sec). Leaf size: 8
dsolve([diff(x(t),t$2)+diff(x(t),t)=0,x(0) = 1, D(x)(0) = -1],x(t), singsol=all)
\[ x \left (t \right ) = {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 10
DSolve[{x''[t]+x'[t]==0,{x[0]==1,x'[0]==-1}},x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to e^{-t} \]