73.7.1 problem 1

Internal problem ID [15159]
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 : 1
Date solved : Tuesday, January 28, 2025 at 07:38:46 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }&=2 y-6 x^{3} \end{align*}

✓ Solution by Maple

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

dsolve(x*diff(y(x),x)=2*y(x)-6*x^3,y(x), singsol=all)
 

\[ y = c_{1} x^{2}-6 x^{3} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 15

DSolve[x*D[y[x],x]==2*y[x]-6*x^3,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2 (-6 x+c_1) \]