Internal problem ID [145]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 25.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 y+\left (x +1\right ) y^{\prime }-3-3 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 14
dsolve(2*y(x)+(1+x)*diff(y(x),x) = 3+3*x,y(x), singsol=all)
\[ y \relax (x ) = x +1+\frac {c_{1}}{\left (x +1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 23
DSolve[2*y[x]+(1+x)*y'[x] == 3+3*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x (x (x+3)+3)+c_1}{(x+1)^2} \\ \end{align*}