Calculate the Wronskian. W[ex, ex, cos x, sin x] = -8 (Simplify your answer.) Therefore, the set of functions {ex, ex, cos x, sin x) forms a fundamental solution set for the differential equation y(4) - y = 0. How can a general solution be determined from the fundamental solution set? O A. Express the fundamental solution set as the sum of each particular solution times the value of the Wronskian. O B. Express the fundamental solution set as the sum of each particular solution. O C. Express the fundamental solution set as the product of each particular solution. O D. Express the fundamental solution set as a linear combination using arbitrary constants.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Calculate the Wronskian.
W[ex, ex, cos x, sin x] = -8
(Simplify your answer.)
Therefore, the set of functions {ex, ex, cos x, sin x) forms a fundamental solution set for the differential equation y(4) - y = 0. How can a general solution be
determined from the fundamental solution set?
O A. Express the fundamental solution set as the sum of each particular solution times the value of the Wronskian.
O B.
Express the fundamental solution set as the sum of each particular solution.
O C. Express the fundamental solution set as the product of each particular solution.
O D. Express the fundamental solution set as a linear combination using arbitrary constants.
Transcribed Image Text:Calculate the Wronskian. W[ex, ex, cos x, sin x] = -8 (Simplify your answer.) Therefore, the set of functions {ex, ex, cos x, sin x) forms a fundamental solution set for the differential equation y(4) - y = 0. How can a general solution be determined from the fundamental solution set? O A. Express the fundamental solution set as the sum of each particular solution times the value of the Wronskian. O B. Express the fundamental solution set as the sum of each particular solution. O C. Express the fundamental solution set as the product of each particular solution. O D. Express the fundamental solution set as a linear combination using arbitrary constants.
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