Internal problem ID [14445]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.1, page 141
Problem number: 9.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(t),t$2)-y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{2} {\mathrm e}^{t}+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 20
DSolve[y''[t]-y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^t+c_2 e^{-t} \]