17.1.3 problem 1.1-2 (c)

Internal problem ID [3420]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-2, page 6
Problem number : 1.1-2 (c)
Date solved : Monday, January 27, 2025 at 07:36:13 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\sin \left (3 t \right ) \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(t),t)=sin(3*t),y(t), singsol=all)
 

\[ y = -\frac {\cos \left (3 t \right )}{3}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 16

DSolve[D[y[t],t]==Sin[3*t],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to -\frac {1}{3} \cos (3 t)+c_1 \]