Internal problem ID [14276]
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: 54.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+4 y=8 \cos \left (4 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(t),t)+4*y(t)=8*cos(4*t),y(t), singsol=all)
\[ y \left (t \right ) = \sin \left (4 t \right )+\cos \left (4 t \right )+{\mathrm e}^{-4 t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.084 (sec). Leaf size: 22
DSolve[y'[t]+4*y[t]==8*Cos[4*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \sin (4 t)+\cos (4 t)+c_1 e^{-4 t} \]