10.1.7 problem 7

Internal problem ID [1104]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.1. Page 40
Problem number : 7
Date solved : Monday, January 27, 2025 at 04:33:33 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 16

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

\[ y = \left (t^{2}+c_1 \right ) {\mathrm e}^{-t^{2}} \]

✓ Solution by Mathematica

Time used: 0.058 (sec). Leaf size: 19

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

\[ y(t)\to e^{-t^2} \left (t^2+c_1\right ) \]