Internal problem ID [2133]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential
Equations. page 59
Problem number: Problem 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+2 y x -2 x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)+2*x*y(x)=2*x^3,y(x), singsol=all)
\[ y \relax (x ) = x^{2}-1+{\mathrm e}^{-x^{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 20
DSolve[y'[x]+2*x*y[x]==2*x^3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2+c_1 e^{-x^2}-1 \\ \end{align*}