74.6.10 problem 11

Internal problem ID [16033]
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
Date solved : Tuesday, January 28, 2025 at 08:28:21 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 9

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

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

✓ Solution by Mathematica

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

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

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