60.4.2 problem 1450

Internal problem ID [11453]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 3, linear third order
Problem number : 1450
Date solved : Tuesday, January 28, 2025 at 06:06:30 PM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime \prime }+y a \,x^{3}-b x&=0 \end{align*}

✓ Solution by Maple

Time used: 0.026 (sec). Leaf size: 1619

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: 12.540 (sec). Leaf size: 2428

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

Too large to display