73.12.1 problem 19.1 (a)

Internal problem ID [15353]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 19. Arbitrary Homogeneous linear equations with constant coefficients. Additional exercises page 369
Problem number : 19.1 (a)
Date solved : Tuesday, January 28, 2025 at 07:53:43 AM
CAS classification : [[_high_order, _missing_x]]

\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 20

dsolve(diff(y(x),x$4)-4*diff(y(x),x$3)=0,y(x), singsol=all)
 

\[ y = c_{1} +c_{2} x +x^{2} c_{3} +c_4 \,{\mathrm e}^{4 x} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 28

DSolve[D[y[x],{x,4}]-4*D[y[x],{x,3}]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{64} c_1 e^{4 x}+x (c_4 x+c_3)+c_2 \]