3.8 problem 8

Internal problem ID [14132]

Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 8.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-6 y^{\frac {2}{3}}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 5

dsolve([diff(y(t),t)=6*y(t)^(2/3),y(1) = 0],y(t), singsol=all)
 

\[ y \left (t \right ) = 0 \]

Solution by Mathematica

Time used: 0.001 (sec). Leaf size: 6

DSolve[{y'[t]==6*y[t]^(2/3),{y[1]==0}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 0 \]