Internal problem ID [11972]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 5, Trivial differential equations. Exercises page 33
Problem number: 5.1 (v).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {T^{\prime }={\mathrm e}^{-t} \sin \left (2 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve(diff(T(t),t)=exp(-t)*sin(2*t),T(t), singsol=all)
\[ T \left (t \right ) = \frac {{\mathrm e}^{-t} \left (-2 \cos \left (2 t \right )-\sin \left (2 t \right )\right )}{5}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 28
DSolve[T'[t]==Exp[-t]*Sin[2*t],T[t],t,IncludeSingularSolutions -> True]
\[ T(t)\to -\frac {1}{5} e^{-t} (\sin (2 t)+2 \cos (2 t))+c_1 \]