Internal problem ID [14281]
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: 59.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=2 \cos \left (t \right )+t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(t),t)+y(t)=2*cos(t)+t,y(t), singsol=all)
\[ y \left (t \right ) = \sin \left (t \right )+\cos \left (t \right )+t -1+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.074 (sec). Leaf size: 20
DSolve[y'[t]+y[t]==2*Cos[t]+t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t+\sin (t)+\cos (t)+c_1 e^{-t}-1 \]