57.3.7 problem 7

Internal problem ID [9064]
Book : First order enumerated odes
Section : section 3. First order odes solved using Laplace method
Problem number : 7
Date solved : Monday, January 27, 2025 at 05:31:49 PM
CAS classification : [_separable]

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

Using Laplace method With initial conditions

\begin{align*} y \left (1\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 1.458 (sec). Leaf size: 9

dsolve([t*diff(y(t),t)+y(t)=0,y(1) = 5],y(t), singsol=all)
 

\[ y = \frac {5}{t} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 10

DSolve[{t*D[y[t],t]+y[t]==0,y[1]==5},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {5}{t} \]