Internal problem ID [12459]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 61.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {s^{\prime }+s \cos \left (t \right )=\frac {\sin \left (2 t \right )}{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(s(t),t)+s(t)*cos(t)=1/2*sin(2*t),s(t), singsol=all)
\[ s \left (t \right ) = \sin \left (t \right )-1+{\mathrm e}^{-\sin \left (t \right )} c_{1} \]
✓ Solution by Mathematica
Time used: 0.087 (sec). Leaf size: 18
DSolve[s'[t]+s[t]*Cos[t]==1/2*Sin[2*t],s[t],t,IncludeSingularSolutions -> True]
\[ s(t)\to \sin (t)+c_1 e^{-\sin (t)}-1 \]