1.2 problem 1.1-2 (b)

Internal problem ID [2448]

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]

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

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 17

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

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

✓ Solution by Mathematica

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

DSolve[y'[t]==t*Exp[2*t],y[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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