Internal problem ID [12555]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.2. page
33
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-t y^{\frac {1}{3}}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 16
dsolve(diff(y(t),t)=t*y(t)^(1/3),y(t), singsol=all)
\[ y \left (t \right )^{\frac {2}{3}}-\frac {t^{2}}{3}-c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.346 (sec). Leaf size: 31
DSolve[y'[t]==t*y[t]^(1/3),y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {\left (t^2+2 c_1\right ){}^{3/2}}{3 \sqrt {3}} y(t)\to 0 \end{align*}