Internal problem ID [13474]
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 (b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }-2 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(x*diff(y(x),x$2)=2*diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = c_{2} x^{3}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 19
DSolve[y''[x]==2*y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} c_1 e^{2 x}+c_2 \]