Internal problem ID [4683]
Book: Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill
2014
Section: Chapter 12. VARIATION OF PARAMETERS. page 104
Problem number: Problem 12.8.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _quadrature]]
Solve \begin {gather*} \boxed {y^{\prime \prime \prime \prime }-5 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 32
dsolve(diff(y(x),x$4)=5*x,y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{24} x^{5}+\frac {1}{6} x^{3} c_{1}+\frac {3}{10} c_{1}^{2} x +\frac {1}{2} c_{2} x^{2}+c_{3} x +c_{4} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 31
DSolve[y''''[x]==5*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^5}{24}+c_4 x^3+c_3 x^2+c_2 x+c_1 \\ \end{align*}