Internal problem ID [15177]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 13. Basic concepts and definitions. Exercises
page 98
Problem number: 319.
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: 0.0 (sec). Leaf size: 23
dsolve(x*diff(y(x),x$3)=2,y(x), singsol=all)
\[ y = x^{2} \ln \left (x \right )+\frac {\left (c_{1} -3\right ) x^{2}}{2}+c_{2} x +c_{3} \]
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 28
DSolve[x*y'''[x]==2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 \log (x)+\left (-\frac {3}{2}+c_3\right ) x^2+c_2 x+c_1 \]