78.6.1 problem 2 (a)

Internal problem ID [18169]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 2. First order equations. Section 10 (Linear equations). Problems at page 82
Problem number : 2 (a)
Date solved : Tuesday, January 28, 2025 at 11:36:01 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }-3 y&=x^{4} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

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

\[ y = \left (x +c_1 \right ) x^{3} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 13

DSolve[x*D[y[x],x]-3*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^3 (x+c_1) \]