Internal problem ID [2561]
Book: Differential equations and linear algebra, Stephen W. Goode, second edition,
2000
Section: 1.6, page 50
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+2 y x=2 x^{3}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(x),x)+2*x*y(x)=2*x^3,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}-1+c_{1} {\mathrm e}^{-x^{2}} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 20
DSolve[y'[x]+2*x*y[x]==2*x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2+c_1 e^{-x^2}-1 \]