74.6.13 problem 14

Internal problem ID [16036]
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 : 14
Date solved : Tuesday, January 28, 2025 at 08:28:31 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 12

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

\[ y = -\frac {t^{3}}{c_{1}} \]

✓ Solution by Mathematica

Time used: 0.038 (sec). Leaf size: 11

DSolve[3*t^2/y[t]-t^3/y[t]^2*D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_1 t^3 \]