74.1.20 problem 27

Internal problem ID [15800]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 27
Date solved : Tuesday, January 28, 2025 at 08:07:37 AM
CAS classification : [[_Emden, _Fowler]]

\begin{align*} x^{2} y^{\prime \prime }-12 x y^{\prime }+42 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 13

dsolve(x^2*diff(y(x),x$2)-12*x*diff(y(x),x)+42*y(x)=0,y(x), singsol=all)
 

\[ y = x^{6} \left (c_{1} x +c_{2} \right ) \]

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 16

DSolve[x^2*D[y[x],{x,2}]-12*x*D[y[x],x]+42*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^6 (c_2 x+c_1) \]