83.37.6 problem 6

Internal problem ID [19451]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter VIII. Linear equations of second order. Excercise VIII (B) at page 128
Problem number : 6
Date solved : Tuesday, January 28, 2025 at 01:44:34 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} 4 x^{2} y^{\prime \prime }+4 x^{5} y^{\prime }+\left (x^{3}+6 x^{2}+4\right ) y&=0 \end{align*}

✗ Solution by Maple

dsolve(4*x^2*diff(y(x),x$2)+4*x^5*diff(y(x),x)+(x^3+6*x^2+4)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[4*x^2*D[y[x],{x,2}]+4*x^5*D[y[x],x]+(x^3+6*x^2+4)*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved