Internal problem ID [2274]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 35, page 157
Problem number: 2.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-k^{2} y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(t),t$2)=k^2*y(t),y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{-k t}+c_{2} {\mathrm e}^{k t} \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 23
DSolve[y''[t]==k^2*y[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{k t}+c_2 e^{-k t} \]