74.5.24 problem 24

Internal problem ID [15988]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number : 24
Date solved : Tuesday, January 28, 2025 at 08:25:46 AM
CAS classification : [_linear]

\begin{align*} p^{\prime }&=t^{3}+\frac {p}{t} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 14

dsolve(diff(p(t),t)=t^3+p(t)/t,p(t), singsol=all)
 

\[ p = \frac {\left (t^{3}+3 c_{1} \right ) t}{3} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 17

DSolve[D[p[t],t]==t^3+p[t]/t,p[t],t,IncludeSingularSolutions -> True]
 

\[ p(t)\to \frac {t^4}{3}+c_1 t \]