13.3.12 problem 12

Internal problem ID [2329]
Book : Differential equations and their applications, 3rd ed., M. Braun
Section : Section 1.4. Page 24
Problem number : 12
Date solved : Monday, January 27, 2025 at 05:46:00 AM
CAS classification : [_separable]

\begin{align*} 3 t y^{\prime }&=\cos \left (t \right ) y \end{align*}

With initial conditions

\begin{align*} y \left (1\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 5

dsolve([3*t*diff(y(t),t) = cos(t)*y(t),y(1) = 0],y(t), singsol=all)
 

\[ y = 0 \]

✓ Solution by Mathematica

Time used: 0.001 (sec). Leaf size: 6

DSolve[{3*t*D[y[t],t] == Cos[t]*y[t],y[1]==0},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 0 \]