17.1.2 problem 1.1-2 (b)

Internal problem ID [3419]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-2, page 6
Problem number : 1.1-2 (b)
Date solved : Monday, January 27, 2025 at 07:36:12 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=t \,{\mathrm e}^{2 t} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 17

dsolve(diff(y(t),t)=t*exp(2*t),y(t), singsol=all)
 

\[ y = \frac {\left (2 t -1\right ) {\mathrm e}^{2 t}}{4}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 22

DSolve[D[y[t],t]==t*Exp[2*t],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {1}{4} e^{2 t} (2 t-1)+c_1 \]