Internal problem ID [2193]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.8, Change of Variables. page
79
Problem number: Problem 55.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _Riccati]
Solve \begin {gather*} \boxed {y^{\prime }-\left (4 x +y+2\right )^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.011 (sec). Leaf size: 19
dsolve(diff(y(x),x)=(4*x+y(x)+2)^2,y(x), singsol=all)
\[ y \relax (x ) = -4 x -2-2 \tan \left (-2 x +2 c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.163 (sec). Leaf size: 41
DSolve[y'[x]==(4*x+y[x]+2)^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -4 x+\frac {1}{c_1 e^{4 i x}-\frac {i}{4}}-(2+2 i) \\ y(x)\to -4 x-(2+2 i) \\ \end{align*}