74.5.48 problem 55

Internal problem ID [16012]
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 : 55
Date solved : Tuesday, January 28, 2025 at 08:26:29 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }+10 y&=2 \,{\mathrm e}^{t} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 20

dsolve(diff(y(t),t)+10*y(t)=2*exp(t),y(t), singsol=all)
 

\[ y = \frac {\left (2 \,{\mathrm e}^{11 t}+11 c_{1} \right ) {\mathrm e}^{-10 t}}{11} \]

✓ Solution by Mathematica

Time used: 0.055 (sec). Leaf size: 21

DSolve[D[y[t],t]+10*y[t]==2*Exp[t],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {2 e^t}{11}+c_1 e^{-10 t} \]