73.8.2 problem 13.1 (b)

Internal problem ID [15210]
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)
Date solved : Tuesday, January 28, 2025 at 07:50:00 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} x y^{\prime \prime }&=2 y^{\prime } \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

dsolve(x*diff(y(x),x$2)=2*diff(y(x),x),y(x), singsol=all)
 

\[ y = c_{2} x^{3}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 19

DSolve[D[y[x],{x,2}]==2*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{2} c_1 e^{2 x}+c_2 \]