Internal problem ID [4411]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.2, Separable Equations. Exercises. page
46
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {x^{\prime }-3 x t^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 10
dsolve(diff(x(t),t)=3*x(t)*t^2,x(t), singsol=all)
\[ x \relax (t ) = c_{1} {\mathrm e}^{t^{3}} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 18
DSolve[x'[t]==3*x[t]*t^2,x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 e^{t^3} \\ x(t)\to 0 \\ \end{align*}