Internal problem ID [14169]
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: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {-4 \cos \left (y\right ) y^{\prime }=-3 \sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(3*sin(x)-4*cos(y(x))*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (-\frac {3 \cos \left (x \right )}{4}+\frac {3 c_{1}}{4}\right ) \]
✓ Solution by Mathematica
Time used: 0.563 (sec). Leaf size: 29
DSolve[3*Sin[x]-4*Cos[y[x]]*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \arcsin \left (-\frac {3 \cos (x)}{4}+c_1\right ) \\ y(x)\to \arcsin \left (-\frac {3 \cos (x)}{4}+c_1\right ) \\ \end{align*}