84.1.4 problem 1.4

Internal problem ID [22068]
Book : Schaums outline series. Differential Equations By Richard Bronson. 1973. McGraw-Hill Inc. ISBN 0-07-008009-7
Section : Chapter 1. Basic concepts
Problem number : 1.4
Date solved : Thursday, October 02, 2025 at 08:23:22 PM
CAS classification :

\begin{align*} 5 {b^{\prime \prime \prime \prime }}^{5}+7 {b^{\prime }}^{10}+b^{7}-b^{5}&=p \end{align*}

✗ Maple

ode:=5*diff(diff(diff(diff(b(p),p),p),p),p)^5+7*diff(b(p),p)^10+b(p)^7-b(p)^5 = p; 
dsolve(ode,b(p), singsol=all);
 

✗ Mathematica

ode=5*D[b[p],{p,4}]^5+7*D[b[p],p]^(10)+b[p]^7-b[p]^5==p; 
ic={}; 
DSolve[{ode,ic},b[p],p,IncludeSingularSolutions->True]
 

Not solved

✗ Sympy

from sympy import * 
p = symbols("p") 
b = Function("b") 
ode = Eq(-b(p)**7 - b(p)**5 + 7*Derivative(b(p), p)**10 + 5*Derivative(b(p), (p, 4))**5,0) 
ics = {} 
dsolve(ode,func=b(p),ics=ics)
 

Timed Out