Internal problem ID [12491]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 118.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _quadrature]]
\[ \boxed {x y^{\prime \prime \prime }=2} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 23
dsolve(x*diff(y(x),x$3)=2,y(x), singsol=all)
\[ y \left (x \right ) = \ln \left (x \right ) x^{2}+\frac {\left (c_{1} -3\right ) x^{2}}{2}+c_{2} x +c_{3} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 28
DSolve[x*y'''[x]==2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 \log (x)+\left (-\frac {3}{2}+c_3\right ) x^2+c_2 x+c_1 \]