26.4.1 problem 2(a)

Internal problem ID [4269]
Book : Differential equations with applications and historial notes, George F. Simmons. Second edition. 1971
Section : Chapter 2, section 11, page 49
Problem number : 2(a)
Date solved : Monday, January 27, 2025 at 08:47:10 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

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

\[ y \left (x \right ) = x^{3} \left (x +c_{1} \right ) \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 13

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

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