7.23 problem 1613 (6.23)

Internal problem ID [9936]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1613 (6.23).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {y^{\prime \prime }+5 a y^{\prime }-6 y^{2}+6 a^{2} y=0} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 27

dsolve(diff(diff(y(x),x),x)+5*a*diff(y(x),x)-6*y(x)^2+6*a^2*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \operatorname {WeierstrassP}\left (\frac {-c_{1} a +{\mathrm e}^{-a x}}{a}, 0, c_{2}\right ) {\mathrm e}^{-2 a x} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[6*a^2*y[x] - 6*y[x]^2 + 5*a*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved