Internal problem ID [3306]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 2
Problem number: 42.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _Riccati]
\[ \boxed {y^{\prime }-\left (y+x \right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 16
dsolve(diff(y(x),x) = (x+y(x))^2,y(x), singsol=all)
\[ y \left (x \right ) = -x -\tan \left (c_{1} -x \right ) \]
✓ Solution by Mathematica
Time used: 0.603 (sec). Leaf size: 14
DSolve[y'[x]==(x+y[x])^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -x+\tan (x+c_1) \]