Internal problem ID [14269]
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: 47.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=\sin \left (2 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t)-y(t)=sin(2*t),y(t), singsol=all)
\[ y \left (t \right ) = -\frac {2 \cos \left (2 t \right )}{5}-\frac {\sin \left (2 t \right )}{5}+{\mathrm e}^{t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.085 (sec). Leaf size: 28
DSolve[y'[t]-y[t]==Sin[2*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{5} \sin (2 t)-\frac {2}{5} \cos (2 t)+c_1 e^t \]