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et cos(et) et sin(et) d & () = (²¹1) (). dt y -et sin(et) et cos(et) Show that and are solutions to this system. Compute the natural undamental matrix of this system associated with t = 0. Solve the initial-value problem for this -ystem with a(0) = 1 and y(0) = 1.

et cos(et) et sin(et) d & () = (²¹1) (). dt y -et sin(et) et cos(et) Show that and are solutions to this system. Compute the natural undamental matrix of this system associated with t = 0. Solve the initial-value problem for this -ystem with a(0) = 1 and y(0) = 1.

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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Consider the differential system d 2) dt y †) (1). et cos(et) et sin(et) +(²(e)) and (((+7) are solutions to this system. Compute the natural et cos(et) = 1 Show that fundamental matrix of this system associated with t = 0. Solve the initial-value problem for this system with a (0) = 1 and y(0) = 1.
Transcribed Image Text:Consider the differential system d 2) dt y †) (1). et cos(et) et sin(et) +(²(e)) and (((+7) are solutions to this system. Compute the natural et cos(et) = 1 Show that fundamental matrix of this system associated with t = 0. Solve the initial-value problem for this system with a (0) = 1 and y(0) = 1.
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