73.1.22 problem 2.3 (L)

Internal problem ID [15000]
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)
Date solved : Tuesday, January 28, 2025 at 07:27:19 AM
CAS classification : [[_high_order, _quadrature]]

\begin{align*} y^{\prime \prime \prime \prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 26

dsolve(diff(y(x),x$4)=1,y(x), singsol=all)
 

\[ y = \frac {1}{24} x^{4}+\frac {1}{6} c_{1} x^{3}+\frac {1}{2} c_{2} x^{2}+x c_{3} +c_4 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 31

DSolve[D[y[x],{x,4}]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^4}{24}+c_4 x^3+c_3 x^2+c_2 x+c_1 \]