Internal problem ID [12993]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.8 page 121
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-2 y=\sin \left (2 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(t),t)=2*y(t)+sin(2*t),y(t), singsol=all)
\[ y \left (t \right ) = -\frac {\cos \left (2 t \right )}{4}-\frac {\sin \left (2 t \right )}{4}+c_{1} {\mathrm e}^{2 t} \]
✓ Solution by Mathematica
Time used: 0.15 (sec). Leaf size: 30
DSolve[y'[t]==2*y[t]+Sin[2*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{4} \sin (2 t)-\frac {1}{4} \cos (2 t)+c_1 e^{2 t} \]