Internal problem ID [12309]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{2}=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(diff(y(x),x)=1+y(x)^2,y(x), singsol=all)
\[ y \left (x \right ) = \tan \left (x +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.145 (sec). Leaf size: 24
DSolve[y'[x]==1+y[x]^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \tan (x+c_1) y(x)\to -i y(x)\to i \end{align*}