84.2.7 problem 1.13

Internal problem ID [22076]
Book : Schaums outline series. Differential Equations By Richard Bronson. 1973. McGraw-Hill Inc. ISBN 0-07-008009-7
Section : Chapter 1. Basic concepts. Supplementary problems
Problem number : 1.13
Date solved : Thursday, October 02, 2025 at 08:23:33 PM
CAS classification : [[_high_order, _quadrature]]

\begin{align*} b^{\left (7\right )}&=3 p \end{align*}

✓ Maple. Time used: 0.002 (sec). Leaf size: 50

ode:=diff(diff(diff(diff(diff(diff(diff(b(p),p),p),p),p),p),p),p) = 3*p; 
dsolve(ode,b(p), singsol=all);
 

\[ b = \frac {p^{8}}{13440}+\frac {p^{6} c_1}{720}+\frac {c_2 \,p^{5}}{120}+\frac {\left (c_1^{2}+2 c_3 \right ) p^{4}}{48}+\frac {c_4 \,p^{3}}{6}+\frac {c_5 \,p^{2}}{2}+c_6 p +c_7 \]

✓ Mathematica. Time used: 0.002 (sec). Leaf size: 49

ode=D[b[p],{p,7}]==3*p; 
ic={}; 
DSolve[{ode,ic},b[p],p,IncludeSingularSolutions->True]
 

\begin{align*} b(p)&\to \frac {p^8}{13440}+c_7 p^6+c_6 p^5+c_5 p^4+c_4 p^3+c_3 p^2+c_2 p+c_1 \end{align*}

✓ Sympy. Time used: 0.067 (sec). Leaf size: 37

from sympy import * 
p = symbols("p") 
b = Function("b") 
ode = Eq(-3*p + Derivative(b(p), (p, 7)),0) 
ics = {} 
dsolve(ode,func=b(p),ics=ics)
 

\[ b{\left (p \right )} = C_{1} + C_{2} p + C_{3} p^{2} + C_{4} p^{3} + C_{5} p^{4} + C_{6} p^{5} + C_{7} p^{6} + \frac {p^{8}}{13440} \]