73.7.8 problem 8

Internal problem ID [15166]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 8
Date solved : Tuesday, January 28, 2025 at 07:39:34 AM
CAS classification : [_linear]

\begin{align*} 4 y x -6+x^{2} y^{\prime }&=0 \end{align*}

✓ Solution by Maple

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

dsolve(4*x*y(x)-6+x^2*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 17

DSolve[4*x*y[x]-6+x^2*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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