Internal problem ID [14302]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\frac {3 t^{2}}{y}-\frac {t^{3} y^{\prime }}{y^{2}}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(3*t^2/y(t)-t^3/y(t)^2*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {t^{3}}{c_{1}} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 11
DSolve[3*t^2/y[t]-t^3/y[t]^2*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 t^3 \]