Internal problem ID [15240]
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 15.2 Homogeneous differential equations with
constant coefficients. Exercises page 121
Problem number: 450.
ODE order: 5.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _quadrature]]
\[ \boxed {y^{\left (5\right )}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 27
dsolve(diff(y(x),x$5)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{24} c_{1} x^{4}+\frac {1}{6} c_{2} x^{3}+\frac {1}{2} c_{3} x^{2}+c_{4} x +c_{5} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 27
DSolve[y'''''[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (x (x (c_5 x+c_4)+c_3)+c_2)+c_1 \]