Internal problem ID [3401]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 5
Problem number: 145.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x y^{\prime }+y=x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x) = x^3-y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\frac {x^{4}}{4}+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 19
DSolve[x y'[x]==x^3-y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{4}+\frac {c_1}{x} \]