Internal problem ID [9063]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 3, linear third order
Problem number: 1484.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {2 x y^{\prime \prime \prime }+3 \left (2 x a +k \right ) y^{\prime \prime }+6 \left (a k +x b \right ) y^{\prime }+\left (3 b k +2 c x \right ) y=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(3*b*k + 2*c*x)*y[x] + 6*(a*k + b*x)*y'[x] + 3*(k + 2*a*x)*y''[x] + 2*x*Derivative[3][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved