2. Verify that for constants A, B, C and D the function p(x) = Ae* + Be* + C sinx+ D cos x is a solution of the fourth order differential equation y" (x) = y(x) (4) Determine the value of the parameters A, B, C and D from the conditions ø(0) = 1, ø' (0) = 0, 0" (0) = -1 and ø" (0) = 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Verify that for constants A, B, C and D the function
p(x) = Ae* + Be* + C sinx+ D cos x
is a solution of the fourth order differential equation
y" (x) = y(x)
(4)
Determine the value of the parameters A, B, C and D from the conditions
ø(0) = 1, ø' (0) = 0, 0" (0) = -1 and ø" (0) = 0
Transcribed Image Text:2. Verify that for constants A, B, C and D the function p(x) = Ae* + Be* + C sinx+ D cos x is a solution of the fourth order differential equation y" (x) = y(x) (4) Determine the value of the parameters A, B, C and D from the conditions ø(0) = 1, ø' (0) = 0, 0" (0) = -1 and ø" (0) = 0
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