Internal problem ID [1881]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 5, page 21
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }=1-\sin \left (2 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(x(t),t)=1-sin(2*t),x(t), singsol=all)
\[ x \left (t \right ) = \frac {\cos \left (2 t \right )}{2}+t +c_{1} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 17
DSolve[x'[t]==1-Sin[2*t],x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to t+\frac {1}{2} \cos (2 t)+c_1 \]