Internal problem ID [14713]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.7, page 195
Problem number: 4.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {2 x^{2} y^{\prime \prime }-7 y^{\prime } x +7 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(2*x^2*diff(y(x),x$2)-7*x*diff(y(x),x)+7*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = x^{\frac {7}{2}} c_{1} +c_{2} x \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 18
DSolve[2*x^2*y''[x]-7*x*y'[x]+7*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \left (c_2 x^{5/2}+c_1\right ) \]