60.4.36 problem 1484

Internal problem ID [11487]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 3, linear third order
Problem number : 1484
Date solved : Monday, January 27, 2025 at 11:22:36 PM
CAS classification : [[_3rd_order, _with_linear_symmetries]]

\begin{align*} 2 x y^{\prime \prime \prime }+3 \left (2 a x +k \right ) y^{\prime \prime }+6 \left (a k +b x \right ) y^{\prime }+\left (3 b k +2 c x \right ) y&=0 \end{align*}

✗ Solution by Maple

dsolve(2*x*diff(diff(diff(y(x),x),x),x)+3*(2*a*x+k)*diff(diff(y(x),x),x)+6*(a*k+b*x)*diff(y(x),x)+(3*b*k+2*c*x)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(3*b*k + 2*c*x)*y[x] + 6*(a*k + b*x)*D[y[x],x] + 3*(k + 2*a*x)*D[y[x],{x,2}] + 2*x*Derivative[3][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved