Internal problem ID [14247]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 18.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y x +y^{\prime }=x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)+y(x)*x=x^3,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}-2+{\mathrm e}^{-\frac {x^{2}}{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.063 (sec). Leaf size: 22
DSolve[y'[x]+y[x]*x==x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2+c_1 e^{-\frac {x^2}{2}}-2 \]