Internal problem ID [464]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {-2 y+y^{\prime }-{\mathrm e}^{2 t}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.006 (sec). Leaf size: 12
dsolve([-2*y(t)+diff(y(t),t) = exp(2*t),y(0) = 2],y(t), singsol=all)
\[ y \relax (t ) = \left (2+t \right ) {\mathrm e}^{2 t} \]
✓ Solution by Mathematica
Time used: 0.043 (sec). Leaf size: 14
DSolve[{-2*y[t]+y'[t] == Exp[2*t],y[0]==2},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to e^{2 t} (t+2) \\ \end{align*}