Internal problem ID [2797]
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]
Solve \begin {gather*} \boxed {y^{\prime }-\left (x +y\right )^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x) = (x+y(x))^2,y(x), singsol=all)
\[ y \relax (x ) = -x -\tan \left (-x +c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.585 (sec). Leaf size: 14
DSolve[y'[x]==(x+y[x])^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -x+\tan (x+c_1) \\ \end{align*}