Internal problem ID [14071]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 34.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\left (x^{2}-1\right ) \left (x^{3}-3 x \right )^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 31
dsolve(diff(y(x),x)=(x^2-1)*(x^3-3*x)^3,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{12} x^{12}-x^{10}+\frac {9}{2} x^{8}-9 x^{6}+\frac {27}{4} x^{4}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 39
DSolve[y'[x]==(x^2-1)*(x^3-3*x)^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^{12}}{12}-x^{10}+\frac {9 x^8}{2}-9 x^6+\frac {27 x^4}{4}+c_1 \]