73.8.1 problem 13.1 (a)

Internal problem ID [15209]
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 : 13.1 (a)
Date solved : Tuesday, January 28, 2025 at 07:49:59 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} x y^{\prime \prime }+4 y^{\prime }&=18 x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 15

dsolve(x*diff(y(x),x$2)+4*diff(y(x),x)=18*x^2,y(x), singsol=all)
 

\[ y = x^{3}-\frac {c_{1}}{3 x^{3}}+c_{2} \]

✓ Solution by Mathematica

Time used: 0.057 (sec). Leaf size: 20

DSolve[x*D[y[x],{x,2}]+4*D[y[x],x]==18*x^2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^3-\frac {c_1}{3 x^3}+c_2 \]