Internal problem ID [1716]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 2.2, linear equations with constant coefficients. Page 138
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.005 (sec). Leaf size: 15
dsolve(diff(y(t),t$2)-y(t)=0,y(t), singsol=all)
\[ y \relax (t ) = {\mathrm e}^{-t} c_{1}+c_{2} {\mathrm e}^{t} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 20
DSolve[y''[t]-y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to c_1 e^t+c_2 e^{-t} \\ \end{align*}