Internal problem ID [2295]
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: 23.
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(x),x$2)=y(x),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{x}+c_{2} {\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 20
DSolve[y''[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^x+c_2 e^{-x} \]