Internal problem ID [12901]
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 1.3 page 47
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=t^{2}+1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)=t^2+1,y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{3} t^{3}+t +c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 16
DSolve[y'[t]==t^2+1,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t^3}{3}+t+c_1 \]