Internal problem ID [13828]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 25. Review exercises for part III. page 447
Problem number: 30.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-5 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x$2)-5*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +{\mathrm e}^{5 x} c_{2} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 19
DSolve[y''[x]-5*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{5} c_1 e^{5 x}+c_2 \]