Internal problem ID [453]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 y+t y^{\prime }=\sin \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(2*y(t)+t*diff(y(t),t) = sin(t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {\sin \left (t \right )-\cos \left (t \right ) t +c_{1}}{t^{2}} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 19
DSolve[2*y[t]+t*y'[t]== Sin[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {\sin (t)-t \cos (t)+c_1}{t^2} \]