22.15 problem 720

Internal problem ID [15464]

Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 17. Boundary value problems. Exercises page 163
Problem number: 720.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_high_order, _missing_x]]

✓ Solution by Maple

Time used: 0.016 (sec). Leaf size: 5

dsolve([diff(y(x),x$4)-lambda^4*y(x)=0,y(0) = 0, (D@@2)(y)(0) = 0, y(Pi) = 0, (D@@2)(y)(Pi) = 0],y(x), singsol=all)
 

\[ y \left (x \right ) = 0 \]

✓ Solution by Mathematica

Time used: 0.016 (sec). Leaf size: 6

DSolve[{y''''[x]-\[Lambda]^4*y[x]==0,{y[0]==0,y''[0]==0,y[Pi]==0,y''[Pi]==0}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to 0 \]