Internal problem ID [12993]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.4 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\cos \left (y\right ) y^{\prime }=\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve(cos(y(x))*diff(y(x),x)=sin(x),y(x), singsol=all)
\[ y = \arcsin \left (-\cos \left (x \right )+c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.311 (sec). Leaf size: 13
DSolve[Cos[y[x]]*y'[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \arcsin (-\cos (x)+c_1) \]