60.4.34 problem 1482

Internal problem ID [11485]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 3, linear third order
Problem number : 1482
Date solved : Tuesday, January 28, 2025 at 06:06:36 PM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} 2 x y^{\prime \prime \prime }+3 y^{\prime \prime }+a x y-b&=0 \end{align*}

✓ Solution by Maple

Time used: 0.023 (sec). Leaf size: 1616

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: 12.670 (sec). Leaf size: 2455

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

Too large to display