4.2 problem 1450

Internal problem ID [9029]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 3, linear third order
Problem number: 1450.
ODE order: 3.
ODE degree: 1.

CAS Maple gives this as type [[_3rd_order, _linear, _nonhomogeneous]]

Solve \begin {gather*} \boxed {y^{\prime \prime \prime }+y a \,x^{3}-x b=0} \end {gather*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 2294

dsolve(diff(diff(diff(y(x),x),x),x)+y(x)*a*x^3-b*x=0,y(x), singsol=all)
 

\[ \text {Expression too large to display} \]

Solution by Mathematica

Time used: 8.799 (sec). Leaf size: 2427

DSolve[-(b*x) + a*x^3*y[x] + Derivative[3][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Too large to display