Internal problem ID [12138]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 60.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {s^{\prime } \cos \left (t \right )+s \sin \left (t \right )=1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
dsolve(diff(s(t),t)*cos(t)+s(t)*sin(t)=1,s(t), singsol=all)
\[ s \left (t \right ) = \left (\tan \left (t \right )+c_{1} \right ) \cos \left (t \right ) \]
✓ Solution by Mathematica
Time used: 0.068 (sec). Leaf size: 13
DSolve[s'[t]*Cos[t]+s[t]*Sin[t]==1,s[t],t,IncludeSingularSolutions -> True]
\[ s(t)\to \sin (t)+c_1 \cos (t) \]