Internal problem ID [15394]
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 15.4 Nonhomogeneous linear equations with
constant coefficients. The Euler equations. Exercises page 143
Problem number: 625.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
\[ \boxed {x^{2} y^{\prime \prime \prime }-2 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x^2*diff(y(x),x$3)=2*diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +c_{2} \ln \left (x \right )+c_{3} x^{3} \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 22
DSolve[x^2*y'''[x]==2*y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_2 x^3}{3}+c_1 \log (x)+c_3 \]