72.2.25 problem 19 a(ii)

Internal problem ID [14660]
Book : DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th edition. Brooks/Cole. Boston, USA. 2012
Section : Chapter 1. First-Order Differential Equations. Exercises section 1.3 page 47
Problem number : 19 a(ii)
Date solved : Tuesday, January 28, 2025 at 06:46:45 AM
CAS classification : [_quadrature]

\begin{align*} \theta ^{\prime }&=2 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 9

dsolve(diff(theta(t),t)=1-cos(theta(t))+(1+cos(theta(t))),theta(t), singsol=all)
 

\[ \theta \left (t \right ) = 2 t +c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 11

DSolve[D[ theta[t],t]==1-Cos[theta[t]]+(1+Cos[theta[t]]),theta[t],t,IncludeSingularSolutions -> True]
 

\[ \theta (t)\to 2 t+c_1 \]