Internal problem ID [11968]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 5, Trivial differential equations. Exercises page 33
Problem number: 5.1 (i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }=\cos \left (t \right )+\sin \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(x(t),t)=sin(t)+cos(t),x(t), singsol=all)
\[ x \left (t \right ) = -\cos \left (t \right )+\sin \left (t \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 14
DSolve[x'[t]==Sin[t]+Cos[t],x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \sin (t)-\cos (t)+c_1 \]