17.7.1 problem 1.2-2 (a)

Internal problem ID [3447]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.2-2, page 12
Problem number : 1.2-2 (a)
Date solved : Monday, January 27, 2025 at 07:37:00 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=y \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=2 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 8

dsolve([diff(y(t),t)=y(t),y(0) = 2],y(t), singsol=all)
 

\[ y = 2 \,{\mathrm e}^{t} \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 10

DSolve[{D[y[t],t]==y[t],y[0]==2},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 2 e^t \]