10.1.6 problem 6

Internal problem ID [1103]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.1. Page 40
Problem number : 6
Date solved : Monday, January 27, 2025 at 04:33:31 AM
CAS classification : [_linear]

\begin{align*} 2 y+t y^{\prime }&=\sin \left (t \right ) \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

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

\[ y = \frac {\sin \left (t \right )-\cos \left (t \right ) t +c_1}{t^{2}} \]

✓ Solution by Mathematica

Time used: 0.034 (sec). Leaf size: 19

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

\[ y(t)\to \frac {\sin (t)-t \cos (t)+c_1}{t^2} \]