Internal problem ID [907]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x +1\right ) y^{\prime }+2 y-\frac {\sin \relax (x )}{x +1}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 16
dsolve((1+x)*diff(y(x),x) +2*y(x)=sin(x)/(1+x),y(x), singsol=all)
\[ y \relax (x ) = \frac {-\cos \relax (x )+c_{1}}{\left (x +1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 18
DSolve[(1+x)*y'[x] +2*y[x]==Sin[x]/(1+x),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-\cos (x)+c_1}{(x+1)^2} \\ \end{align*}