17.7.2 problem 1.2-2 (b)

Internal problem ID [3448]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.2-2, page 12
Problem number : 1.2-2 (b)
Date solved : Monday, January 27, 2025 at 07:37:02 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=2 y \end{align*}

With initial conditions

\begin{align*} y \left (\ln \left (3\right )\right )&=3 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 10

dsolve([diff(y(t),t)=2*y(t),y(ln(3)) = 3],y(t), singsol=all)
 

\[ y = \frac {{\mathrm e}^{2 t}}{3} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 14

DSolve[{D[y[t],t]==2*y[t],y[Log[3]]==3},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {e^{2 t}}{3} \]