Internal problem ID [5191]
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]]
\[ \boxed {y^{\prime \prime \prime \prime }=5 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 35
dsolve(diff(y(x),x$4)=5*x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{5}}{24}+\frac {c_{1} x^{3}}{6}+\frac {c_{2} x^{2}}{2}+\frac {\left (3 c_{1}^{2}+10 c_{3} \right ) x}{10}+c_{4} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 31
DSolve[y''''[x]==5*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^5}{24}+c_4 x^3+c_3 x^2+c_2 x+c_1 \]