73.17.29 problem 29

Internal problem ID [15563]
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 : 29
Date solved : Tuesday, January 28, 2025 at 08:02:08 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} x y^{\prime \prime }&=3 y^{\prime } \end{align*}

✓ Solution by Maple

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

dsolve(x*diff(y(x),x$2)=3*diff(y(x),x),y(x), singsol=all)
 

\[ y = c_{2} x^{4}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 17

DSolve[x*D[y[x],{x,2}]==3*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {c_1 x^4}{4}+c_2 \]