Internal problem ID [14292]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y \sec \left (t \right )^{2}+\tan \left (t \right ) y^{\prime }=-2 t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve((y(t)*sec(t)^2+2*t)+tan(t)*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \cot \left (t \right ) \left (-t^{2}+c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.056 (sec). Leaf size: 16
DSolve[(y[t]*Sec[t]^2+2*t)+Tan[t]*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \left (-t^2+c_1\right ) \cot (t) \]