74.5.50 problem 57

Internal problem ID [16014]
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 : 57
Date solved : Tuesday, January 28, 2025 at 08:26:32 AM
CAS classification : [[_linear, `class A`]]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.040 (sec). Leaf size: 15

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

\[ y(t)\to e^t (2 t+c_1) \]