Internal problem ID [1940]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\sin \left (3 t \right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)=sin(3*t),y(t), singsol=all)
\[ y \relax (t ) = -\frac {\cos \left (3 t \right )}{3}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.008 (sec). Leaf size: 16
DSolve[y'[t]==Sin[3*t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {1}{3} \cos (3 t)+c_1 \\ \end{align*}