12.9.40 problem 38 part (e)

Internal problem ID [1796]
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)
Date solved : Monday, January 27, 2025 at 05:35:02 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+y^{2}+14 y+50&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 12

dsolve(diff(y(x),x)+y(x)^2+14*y(x)+50=0,y(x), singsol=all)
 

\[ y = -7-\tan \left (x +c_1 \right ) \]

✓ Solution by Mathematica

Time used: 0.487 (sec). Leaf size: 30

DSolve[D[y[x],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*}