57.3.13 problem 13

Internal problem ID [9070]
Book : First order enumerated odes
Section : section 3. First order odes solved using Laplace method
Problem number : 13
Date solved : Monday, January 27, 2025 at 05:31:54 PM
CAS classification : [_separable]

\begin{align*} y^{\prime }+\left (a t +b t \right ) y&=0 \end{align*}

Using Laplace method With initial conditions

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

✓ Solution by Maple

Time used: 1.399 (sec). Leaf size: 5

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

\[ y = 0 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 6

DSolve[{D[y[t],t]+(a*t+b*t)*y[t]==0,y[0]==0},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 0 \]