Internal problem ID [13030]
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. Review Exercises for chapter 1. page
136
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=t^{2} \left (t^{2}+1\right )} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 16
dsolve(diff(y(t),t)=t^2*(t^2+1),y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{5} t^{5}+\frac {1}{3} t^{3}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 22
DSolve[y'[t]==t^2*(t^2+1),y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t^5}{5}+\frac {t^3}{3}+c_1 \]