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(1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential equation du = 2u+ cos(2t). dt 2х for any constant C. t+1 (2) Verify that x(t) = C(t+1)² is a solution of the differential equation x' =

(1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential equation du = 2u+ cos(2t). dt 2х for any constant C. t+1 (2) Verify that x(t) = C(t+1)² is a solution of the differential equation x' =

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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Answer part 1 & 2 using the same method please

(1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential equation du = 2u + cos(2t). dt 2x for any constant C. t+1 (2) Verify that x(t) = C(t+1)² is a solution of the differential equation x' = Reach: Write two different differential equations for which y(t) = e3t is a solution.
Transcribed Image Text:(1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential equation du = 2u + cos(2t). dt 2x for any constant C. t+1 (2) Verify that x(t) = C(t+1)² is a solution of the differential equation x' = Reach: Write two different differential equations for which y(t) = e3t is a solution.
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