Internal problem ID [14264]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 35.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-2 y={\mathrm e}^{2 t}} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([diff(y(t),t)=exp(2*t)+2*y(t),y(0) = 0],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{2 t} t \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 12
DSolve[{y'[t]==Exp[2*t]+2*y[t],{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{2 t} t \]