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b) If the Wronskian at t = 1 is 5 d³y dt³ d'y dt4 d³y dt3 - t- (1) = 1 d²y dt² -t². d²y dt.² dy 13. dt - t4y = 7 cos (t) dy (1) = 1 (1) = 2 y(1) = 9 dt

b) If the Wronskian at t = 1 is 5 d³y dt³ d'y dt4 d³y dt3 - t- (1) = 1 d²y dt² -t². d²y dt.² dy 13. dt - t4y = 7 cos (t) dy (1) = 1 (1) = 2 y(1) = 9 dt

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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b) W(1) = 5, what is W(t)? 

7. Write the 4th order ordinary differential equation as a matrix system of first order ordinary differential equations with an initial vector condition. & indicate what the terms A, X. X, and g(t) are. a) in the form x Ax+s(t) withx{1} b) If the Wronskian at t = 1 is 5 day dt4 d³y dt3 t d³y dt 3 (1) = 1 d²y dt² 1². d²y dt² - t3 (1) = 1 dy dt dy dt t4y = 7 cos (t) (1) = 2 y(1) 9
Transcribed Image Text:7. Write the 4th order ordinary differential equation as a matrix system of first order ordinary differential equations with an initial vector condition. & indicate what the terms A, X. X, and g(t) are. a) in the form x Ax+s(t) withx{1} b) If the Wronskian at t = 1 is 5 day dt4 d³y dt3 t d³y dt 3 (1) = 1 d²y dt² 1². d²y dt² - t3 (1) = 1 dy dt dy dt t4y = 7 cos (t) (1) = 2 y(1) 9
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