74.6.31 problem 32

Internal problem ID [16054]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number : 32
Date solved : Tuesday, January 28, 2025 at 08:31:57 AM
CAS classification : [_linear]

\begin{align*} 1+\frac {y}{t^{2}}-\frac {y^{\prime }}{t}&=0 \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.014 (sec). Leaf size: 11

dsolve([(1+y(t)/t^2)-1/t*diff(y(t),t)=0,y(2) = 1],y(t), singsol=all)
 

\[ y = t^{2}-\frac {3}{2} t \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 14

DSolve[{(1+y[t]/t^2)-1/t*D[y[t],t]==0,{y[2]==1}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to t^2-\frac {3 t}{2} \]