73.8.29 problem 13.5 (e)

Internal problem ID [15237]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 13. Higher order equations: Extending first order concepts. Additional exercises page 259
Problem number : 13.5 (e)
Date solved : Tuesday, January 28, 2025 at 07:50:36 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} x y^{\prime \prime }-y^{\prime }&=6 x^{5} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 17

dsolve(x*diff(y(x),x$2)-diff(y(x),x)=6*x^5,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 24

DSolve[x*D[y[x],{x,2}]-D[y[x],x]==6*x^5,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{4} \left (x^6+2 c_1 x^2+4 c_2\right ) \]