Internal problem ID [2275]
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: 3.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {x^{\prime \prime }+k^{2} x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(x(t),t$2)+k^2*x(t)=0,x(t), singsol=all)
\[ x \left (t \right ) = c_{1} \sin \left (k t \right )+c_{2} \cos \left (k t \right ) \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 20
DSolve[x''[t]+k^2*x[t]==0,x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to c_1 \cos (k t)+c_2 \sin (k t) \]