Internal problem ID [14246]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+2 y \cot \left (x \right )=\cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)+2*y(x)*cot(x)=cos(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sin \left (x \right )}{3}+\csc \left (x \right )^{2} c_{1} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 19
DSolve[y'[x]+2*y[x]*Cot[x]==Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\sin (x)}{3}+c_1 \csc ^2(x) \]