Internal problem ID [1939]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{2 t} t=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 17
dsolve(diff(y(t),t)=t*exp(2*t),y(t), singsol=all)
\[ y \relax (t ) = \frac {\left (2 t -1\right ) {\mathrm e}^{2 t}}{4}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 22
DSolve[y'[t]==t*Exp[2*t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {1}{4} e^{2 t} (2 t-1)+c_1 \\ \end{align*}