Internal problem ID [2093]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 17, page 78
Problem number: 21.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-2 y^{\prime }-y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(diff(y(x),x$2)-2*diff(y(x),x)-y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{x \left (1+\sqrt {2}\right )}+c_{2} {\mathrm e}^{-x \left (\sqrt {2}-1\right )} \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 34
DSolve[y''[x]-2*y'[x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{x-\sqrt {2} x} \left (c_2 e^{2 \sqrt {2} x}+c_1\right ) \]