10.1.17 problem 17

Internal problem ID [1114]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.1. Page 40
Problem number : 17
Date solved : Monday, January 27, 2025 at 04:33:54 AM
CAS classification : [[_linear, `class A`]]

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

With initial conditions

\begin{align*} y \left (0\right )&=2 \end{align*}

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 12

dsolve([-2*y(t)+diff(y(t),t) = exp(2*t),y(0) = 2],y(t), singsol=all)
 

\[ y = \left (2+t \right ) {\mathrm e}^{2 t} \]

✓ Solution by Mathematica

Time used: 0.042 (sec). Leaf size: 14

DSolve[{-2*y[t]+D[y[t],t] == Exp[2*t],y[0]==2},y[t],t,IncludeSingularSolutions -> True]
 

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