84.26.6 problem 15.11

Internal problem ID [22273]
Book : Schaums outline series. Differential Equations By Richard Bronson. 1973. McGraw-Hill Inc. ISBN 0-07-008009-7
Section : Chapter 15. Variation of parameteres. Supplementary problems
Problem number : 15.11
Date solved : Thursday, October 02, 2025 at 08:36:58 PM
CAS classification : [[_3rd_order, _quadrature]]

\begin{align*} y^{\prime \prime \prime }&=12 \end{align*}

✓ Maple. Time used: 0.000 (sec). Leaf size: 20

ode:=diff(diff(diff(y(x),x),x),x) = 12; 
dsolve(ode,y(x), singsol=all);
 

\[ y = 2 x^{3}+\frac {1}{2} c_1 \,x^{2}+c_2 x +c_3 \]

✓ Mathematica. Time used: 0.002 (sec). Leaf size: 23

ode=D[y[x],{x,3}]==12; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\begin{align*} y(x)&\to 2 x^3+c_3 x^2+c_2 x+c_1 \end{align*}

✓ Sympy. Time used: 0.029 (sec). Leaf size: 17

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(Derivative(y(x), (x, 3)) - 12,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = C_{1} + C_{2} x + C_{3} x^{2} + 2 x^{3} \]