Internal problem ID [8356]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _Riccati]
\[ \boxed {y^{\prime }-\left (x +y\right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x) - (y(x) + x)^2=0,y(x), singsol=all)
\[ y \left (x \right ) = -x -\tan \left (-x +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.463 (sec). Leaf size: 14
DSolve[y'[x] - (y[x] + x)^2==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -x+\tan (x+c_1) \]