6.11 problem 11

Internal problem ID [14299]

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: 11.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {-y^{\prime }=-3 t^{2}} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 9

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

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

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 11

DSolve[3*t^2-y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

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