Internal problem ID [14170]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\cos \left (y\right ) y^{\prime }=8 \sin \left (8 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(cos(y(t))*diff(y(t),t)=8*sin(8*t),y(t), singsol=all)
\[ y \left (t \right ) = \arcsin \left (-\cos \left (8 t \right )+64 c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.509 (sec). Leaf size: 15
DSolve[Cos[y[t]]*y'[t]==8*Sin[8*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \arcsin (-\cos (8 t)+c_1) \]