Internal problem ID [2599]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, section 11, page 49
Problem number: 2(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x -3 y-x^{4}=0} \end {gather*}
✓ 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)
\[ y \relax (x ) = \left (c_{1}+x \right ) x^{3} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 13
DSolve[x*y'[x]-3*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^3 (x+c_1) \\ \end{align*}