Internal problem ID [1968]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.2-2, page 12
Problem number: 1.2-2 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {-2 y+y^{\prime }=0} \end {gather*} With initial conditions \begin {align*} [y \left (\ln \relax (3)\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 10
dsolve([diff(y(t),t)=2*y(t),y(ln(3)) = 3],y(t), singsol=all)
\[ y \relax (t ) = \frac {{\mathrm e}^{2 t}}{3} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 14
DSolve[{y'[t]==2*y[t],y[Log[3]]==3},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {e^{2 t}}{3} \\ \end{align*}