74.7.18 problem 18

Internal problem ID [16095]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number : 18
Date solved : Tuesday, January 28, 2025 at 08:39:43 AM
CAS classification : [_linear]

\begin{align*} 2 y-3 t +y^{\prime } t&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

dsolve(( 2*y(t)-3*t )+( t )*diff(y(t),t)=0,y(t), singsol=all)
 

\[ y = t +\frac {c_{1}}{t^{2}} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 13

DSolve[( 2*y[t]-3*t  )+( t )*D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to t+\frac {c_1}{t^2} \]