57.3.6 problem 6

Internal problem ID [9063]
Book : First order enumerated odes
Section : section 3. First order odes solved using Laplace method
Problem number : 6
Date solved : Monday, January 27, 2025 at 05:31:48 PM
CAS classification : [_separable]

\begin{align*} t y^{\prime }+y&=0 \end{align*}

Using Laplace method

✓ Solution by Maple

Time used: 1.020 (sec). Leaf size: 8

dsolve(t*diff(y(t),t)+y(t)=0,y(t), singsol=all)
 

\[ y = \delta \left (t \right ) c_{1} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 16

DSolve[t*D[y[t],t]+y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to \frac {c_1}{t} \\ y(t)\to 0 \\ \end{align*}