Internal problem ID [13264]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.3 (L).
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _quadrature]]
\[ \boxed {y^{\prime \prime \prime \prime }=1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 26
dsolve(diff(y(x),x$4)=1,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{24} x^{4}+\frac {1}{6} c_{1} x^{3}+\frac {1}{2} c_{2} x^{2}+x c_{3} +c_{4} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 31
DSolve[y''''[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^4}{24}+c_4 x^3+c_3 x^2+c_2 x+c_1 \]