Internal problem ID [1146]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 5 linear second order equations. Section 5.6 Reduction or order. Page
253
Problem number: 38 part (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+y^{2}+14 y+50=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve(diff(y(x),x)+y(x)^2+14*y(x)+50=0,y(x), singsol=all)
\[ y \relax (x ) = -7-\tan \left (c_{1}+x \right ) \]
✓ Solution by Mathematica
Time used: 0.554 (sec). Leaf size: 30
DSolve[y'[x]+y[x]^2+14*y[x]+50==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -7-\tan (x-c_1) \\ y(x)\to -7-i \\ y(x)\to -7+i \\ \end{align*}