10.1.9 problem 9

Internal problem ID [1106]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.1. Page 40
Problem number : 9
Date solved : Monday, January 27, 2025 at 04:33:38 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y+2 y^{\prime }&=3 t \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 15

dsolve(y(t)+2*diff(y(t),t) = 3*t,y(t), singsol=all)
 

\[ y = 3 t -6+{\mathrm e}^{-\frac {t}{2}} c_1 \]

✓ Solution by Mathematica

Time used: 0.044 (sec). Leaf size: 20

DSolve[y[t]+2*D[y[t],t] == 3*t,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 3 t+c_1 e^{-t/2}-6 \]