In Problems 15 and 16, a uniform beam of length L carries a concentrated load wo at x = L. Solve the differential equation ΕΙ dªy dx4 = wod(x − 1⁄/L), 0 < x < L, subject to the given boundary conditions.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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In Problems 15 and 16, a uniform beam of length L carries a
concentrated load wo at x = L. Solve the differential equation
ΕΙ
dªy
dx4
=
wod(x − 1⁄/L), 0 < x < L,
subject to the given boundary conditions.
Transcribed Image Text:In Problems 15 and 16, a uniform beam of length L carries a concentrated load wo at x = L. Solve the differential equation ΕΙ dªy dx4 = wod(x − 1⁄/L), 0 < x < L, subject to the given boundary conditions.
15. y(0) = 0, y'(0) = 0, y″(L) = 0, y"(L) = 0
y
Wo
L
➜
X
FIGURE 4.5.4 Beam embedded at its
left end and free at its right end
Transcribed Image Text:15. y(0) = 0, y'(0) = 0, y″(L) = 0, y"(L) = 0 y Wo L ➜ X FIGURE 4.5.4 Beam embedded at its left end and free at its right end
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