Internal problem ID [14242]
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: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+y \cot \left (t \right )=\cos \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(t),t)+y(t)*cot(t)=cos(t),y(t), singsol=all)
\[ y \left (t \right ) = -\frac {\csc \left (t \right ) \left (2 \cos \left (t \right )^{2}-4 c_{1} -1\right )}{4} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 19
DSolve[y'[t]+y[t]*Cot[t]==Cos[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{2} \cos (t) \cot (t)+c_1 \csc (t) \]