83.27.15 problem 15

Internal problem ID [19361]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter VII. Exact differential equations and certain particular forms of equations. Exercise VII (A) at page 104
Problem number : 15
Date solved : Tuesday, January 28, 2025 at 01:35:26 PM
CAS classification : [[_high_order, _exact, _linear, _nonhomogeneous]]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^5*D[y[x],{x,6}]+x^4*D[y[x],{x,5}]+x*D[y[x],x]+y[x]==Log[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved