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List the values for L such that the function y = a cos(Lx) + b sin(Lx) is a nontrivial solution for the ODE 36y+y" = 0. O it depends on a and b O 6,0 0,-6 6,0,-6 O impossible 6,-6

List the values for L such that the function y = a cos(Lx) + b sin(Lx) is a nontrivial solution for the ODE 36y+y" = 0. O it depends on a and b O 6,0 0,-6 6,0,-6 O impossible 6,-6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question:** List the values for \( L \) such that the function \( y = a \cos(Lx) + b \sin(Lx) \) is a nontrivial solution for the ODE \( 36y + y'' = 0 \). **Options:** - \( \circ \) it depends on \( a \) and \( b \) - \( \circ \) 6, 0 - \( \circ \) 0, -6 - \( \circ \) 6, 0, -6 - \( \circ \) impossible - \( \circ \) 6, -6
Transcribed Image Text:**Question:** List the values for \( L \) such that the function \( y = a \cos(Lx) + b \sin(Lx) \) is a nontrivial solution for the ODE \( 36y + y'' = 0 \). **Options:** - \( \circ \) it depends on \( a \) and \( b \) - \( \circ \) 6, 0 - \( \circ \) 0, -6 - \( \circ \) 6, 0, -6 - \( \circ \) impossible - \( \circ \) 6, -6
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