Internal problem ID [12422]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 5.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
\[ \boxed {y^{\prime \prime \prime }+\frac {3 y^{\prime \prime }}{x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x$3)+3/x*diff(y(x),x$2)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +\frac {c_{2}}{x}+c_{3} x \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 21
DSolve[y'''[x]+3/x*y''[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_1}{2 x}+c_3 x+c_2 \]