74.4.60 problem 58

Internal problem ID [15953]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number : 58
Date solved : Tuesday, January 28, 2025 at 08:24:32 AM
CAS classification : [_separable]

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

With initial conditions

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

✓ Solution by Maple

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

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

\[ y = 0 \]

✓ Solution by Mathematica

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

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

\[ y(t)\to 0 \]