Internal problem ID [13475]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 13. Higher order equations: Extending first order concepts. Additional exercises
page 259
Problem number: 13.1 (c).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x$2)=diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +c_{2} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 14
DSolve[y''[x]==y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^x+c_2 \]