Internal problem ID [3211]
Book: Differential equations for engineers by Wei-Chau XIE, Cambridge Press 2010
Section: Chapter 2. First-Order and Simple Higher-Order Differential Equations. Page
78
Problem number: 68.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x +1\right ) y^{\prime }-y=x \left (x +1\right )^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve((1+x)*diff(y(x),x)-y(x)=x*(1+x)^2,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (x^{2}+2 c_{1} \right ) \left (x +1\right )}{2} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 20
DSolve[(1+x)*y'[x]-y[x]==x*(1+x)^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} (x+1) \left (x^2+2 c_1\right ) \]