Internal problem ID [12105]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 8.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }+\frac {2 y^{\prime }}{x}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
dsolve(diff(y(x),x$2)+2/x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +\frac {c_{2}}{x} \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 15
DSolve[y''[x]+2/x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2-\frac {c_1}{x} \]