Internal problem ID [451]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\frac {y}{t}+y^{\prime }-3 \cos \left (2 t \right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(y(t)/t+diff(y(t),t) = 3*cos(2*t),y(t), singsol=all)
\[ y \relax (t ) = \frac {\frac {3 \cos \left (2 t \right )}{4}+\frac {3 \sin \left (2 t \right ) t}{2}+c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 30
DSolve[y[t]/t+y'[t] == 3*Cos[2*t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {6 t \sin (2 t)+3 \cos (2 t)+4 c_1}{4 t} \\ \end{align*}