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]
\[ \boxed {2 y+\left (x +1\right ) y^{\prime }=\frac {\sin \left (x \right )}{x +1}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve((1+x)*diff(y(x),x) +2*y(x)=sin(x)/(1+x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\cos \left (x \right )+c_{1}}{\left (x +1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 18
DSolve[(1+x)*y'[x] +2*y[x]==Sin[x]/(1+x),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-\cos (x)+c_1}{(x+1)^2} \]