Internal problem ID [1881]
Book: Differential Equations, Nelson, Folley, Coral, 3rd ed, 1964
Section: Exercis 5, page 21
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {x^{\prime }-1+\sin \left (2 t \right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve(diff(x(t),t)=1-sin(2*t),x(t), singsol=all)
\[ x \relax (t ) = \frac {\cos \left (2 t \right )}{2}+t +c_{1} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 17
DSolve[x'[t]==1-Sin[2*t],x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to t+\frac {1}{2} \cos (2 t)+c_1 \\ \end{align*}