Internal problem ID [13507]
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.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }-3 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.009 (sec). Leaf size: 17
DSolve[x*y''[x]==3*y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_1 x^4}{4}+c_2 \]