Internal problem ID [13261]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 17. Second order Homogeneous equations with constant coefficients. Additional
exercises page 334
Problem number: 17.1 (c).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-25 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x$2)-25*y(x)=0,y(x), singsol=all)
\[ y = c_{1} {\mathrm e}^{-5 x}+c_{2} {\mathrm e}^{5 x} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 22
DSolve[y''[x]-25*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{5 x}+c_2 e^{-5 x} \]