Internal problem ID [9061]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 3, linear third order
Problem number: 1482.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _linear, _nonhomogeneous]]
Solve \begin {gather*} \boxed {2 x y^{\prime \prime \prime }+3 y^{\prime \prime }+y a x -b=0} \end {gather*}
✓ Solution by Maple
Time used: 0.078 (sec). Leaf size: 2292
dsolve(2*x*diff(diff(diff(y(x),x),x),x)+3*diff(diff(y(x),x),x)+y(x)*a*x-b=0,y(x), singsol=all)
\[ \text {Expression too large to display} \]
✓ Solution by Mathematica
Time used: 9.647 (sec). Leaf size: 2449
DSolve[-b + a*x*y[x] + 3*y''[x] + 2*x*Derivative[3][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
Too large to display