57.3.4 problem 4

Internal problem ID [9061]
Book : First order enumerated odes
Section : section 3. First order odes solved using Laplace method
Problem number : 4
Date solved : Monday, January 27, 2025 at 05:31:46 PM
CAS classification : [_separable]

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

Using Laplace method With initial conditions

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

✓ Solution by Maple

Time used: 1.019 (sec). Leaf size: 12

dsolve([t*diff(y(t),t)+y(t)=0,y(0) = y__0],y(t), singsol=all)
 

\[ y = \frac {\delta \left (t \right ) y_{0}}{\delta \left (0\right )} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{t*D[y[t],t]+y[t]==0,y[0]==y0},y[t],t,IncludeSingularSolutions -> True]
 

Not solved