Internal problem ID [5925]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.6 Introduction– Linear equations of First Order. Page 41
Problem number: 1(c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-2 y=x^{2}+x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)-2*y(x)=x^2+x,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{2 x} c_{1} -\frac {\left (x +1\right )^{2}}{2} \]
✓ Solution by Mathematica
Time used: 0.073 (sec). Leaf size: 23
DSolve[y'[x]-2*y[x]==x^2+x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {1}{2} (x+1)^2+c_1 e^{2 x} \]