Internal problem ID [12551]
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: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }-x^{2}=1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 8
dsolve(diff(x(t),t)=1+x(t)^2,x(t), singsol=all)
\[ x \left (t \right ) = \tan \left (t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.222 (sec). Leaf size: 24
DSolve[x'[t]==1+x[t]^2,x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to \tan (t+c_1) x(t)\to -i x(t)\to i \end{align*}